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Finding the Fourth Proportional to 539.31, 807.42 and 365.55

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Solution

The fourth proportional to 539.31, 807.42 and 365.55 is: 547.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.31 : 807.42 = 365.55 : x
  2. Step 2: Convert to fraction form
    539.31/807.42 = 365.55/x
  3. Step 3: Cross multiply
    539.31x = 807.42 × 365.55
  4. Step 4: Simplify right side
    539.31x = 295,152.38
  5. Step 5: Solve for x
    x = 295,152.38/539.31
  6. Step 6: Final answer
    x = 547.28

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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.