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Finding the Fourth Proportional to 547.16, 820.30 and 273.05

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Solution

The fourth proportional to 547.16, 820.30 and 273.05 is: 409.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.16 : 820.30 = 273.05 : x
  2. Step 2: Convert to fraction form
    547.16/820.30 = 273.05/x
  3. Step 3: Cross multiply
    547.16x = 820.30 × 273.05
  4. Step 4: Simplify right side
    547.16x = 223,982.92
  5. Step 5: Solve for x
    x = 223,982.92/547.16
  6. Step 6: Final answer
    x = 409.36

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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.