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Finding the Fourth Proportional to 531.61, 733.17 and 365.56

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Solution

The fourth proportional to 531.61, 733.17 and 365.56 is: 504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.61 : 733.17 = 365.56 : x
  2. Step 2: Convert to fraction form
    531.61/733.17 = 365.56/x
  3. Step 3: Cross multiply
    531.61x = 733.17 × 365.56
  4. Step 4: Simplify right side
    531.61x = 268,017.63
  5. Step 5: Solve for x
    x = 268,017.63/531.61
  6. Step 6: Final answer
    x = 504.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.