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Finding the Fourth Proportional to 540.96, 811.56 and 252.48

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Solution

The fourth proportional to 540.96, 811.56 and 252.48 is: 378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.96 : 811.56 = 252.48 : x
  2. Step 2: Convert to fraction form
    540.96/811.56 = 252.48/x
  3. Step 3: Cross multiply
    540.96x = 811.56 × 252.48
  4. Step 4: Simplify right side
    540.96x = 204,902.67
  5. Step 5: Solve for x
    x = 204,902.67/540.96
  6. Step 6: Final answer
    x = 378.78

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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.