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Finding the Fourth Proportional to 432.10, 596.25 and 344.74

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Solution

The fourth proportional to 432.10, 596.25 and 344.74 is: 475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.10 : 596.25 = 344.74 : x
  2. Step 2: Convert to fraction form
    432.10/596.25 = 344.74/x
  3. Step 3: Cross multiply
    432.10x = 596.25 × 344.74
  4. Step 4: Simplify right side
    432.10x = 205,551.23
  5. Step 5: Solve for x
    x = 205,551.23/432.10
  6. Step 6: Final answer
    x = 475.70

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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.