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Finding the Fourth Proportional to 432.31, 596.42 and 277.15

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Solution

The fourth proportional to 432.31, 596.42 and 277.15 is: 382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.31 : 596.42 = 277.15 : x
  2. Step 2: Convert to fraction form
    432.31/596.42 = 277.15/x
  3. Step 3: Cross multiply
    432.31x = 596.42 × 277.15
  4. Step 4: Simplify right side
    432.31x = 165,294.82
  5. Step 5: Solve for x
    x = 165,294.82/432.31
  6. Step 6: Final answer
    x = 382.36

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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.