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Finding the Fourth Proportional to 432.39, 596.29 and 282.79

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Solution

The fourth proportional to 432.39, 596.29 and 282.79 is: 389.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.39 : 596.29 = 282.79 : x
  2. Step 2: Convert to fraction form
    432.39/596.29 = 282.79/x
  3. Step 3: Cross multiply
    432.39x = 596.29 × 282.79
  4. Step 4: Simplify right side
    432.39x = 168,624.62
  5. Step 5: Solve for x
    x = 168,624.62/432.39
  6. Step 6: Final answer
    x = 389.98

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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.