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Finding the Fourth Proportional to 432.88, 649.62 and 158.96

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Solution

The fourth proportional to 432.88, 649.62 and 158.96 is: 238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.88 : 649.62 = 158.96 : x
  2. Step 2: Convert to fraction form
    432.88/649.62 = 158.96/x
  3. Step 3: Cross multiply
    432.88x = 649.62 × 158.96
  4. Step 4: Simplify right side
    432.88x = 103,265.22
  5. Step 5: Solve for x
    x = 103,265.22/432.88
  6. Step 6: Final answer
    x = 238.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.