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Finding the Fourth Proportional to 546.96, 820.56 and 273.12

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Solution

The fourth proportional to 546.96, 820.56 and 273.12 is: 409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.96 : 820.56 = 273.12 : x
  2. Step 2: Convert to fraction form
    546.96/820.56 = 273.12/x
  3. Step 3: Cross multiply
    546.96x = 820.56 × 273.12
  4. Step 4: Simplify right side
    546.96x = 224,111.35
  5. Step 5: Solve for x
    x = 224,111.35/546.96
  6. Step 6: Final answer
    x = 409.74

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.