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Finding the Fourth Proportional to 432.57, 596.89 and 243.49

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Solution

The fourth proportional to 432.57, 596.89 and 243.49 is: 335.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.57 : 596.89 = 243.49 : x
  2. Step 2: Convert to fraction form
    432.57/596.89 = 243.49/x
  3. Step 3: Cross multiply
    432.57x = 596.89 × 243.49
  4. Step 4: Simplify right side
    432.57x = 145,336.68
  5. Step 5: Solve for x
    x = 145,336.68/432.57
  6. Step 6: Final answer
    x = 335.98

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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.