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Finding the Fourth Proportional to 540.72, 811.32 and 252.08

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Solution

The fourth proportional to 540.72, 811.32 and 252.08 is: 378.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.72 : 811.32 = 252.08 : x
  2. Step 2: Convert to fraction form
    540.72/811.32 = 252.08/x
  3. Step 3: Cross multiply
    540.72x = 811.32 × 252.08
  4. Step 4: Simplify right side
    540.72x = 204,517.55
  5. Step 5: Solve for x
    x = 204,517.55/540.72
  6. Step 6: Final answer
    x = 378.23

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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.