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Finding the Fourth Proportional to 157.41, 217.10 and 129.62

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Solution

The fourth proportional to 157.41, 217.10 and 129.62 is: 178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.41 : 217.10 = 129.62 : x
  2. Step 2: Convert to fraction form
    157.41/217.10 = 129.62/x
  3. Step 3: Cross multiply
    157.41x = 217.10 × 129.62
  4. Step 4: Simplify right side
    157.41x = 28,141.37
  5. Step 5: Solve for x
    x = 28,141.37/157.41
  6. Step 6: Final answer
    x = 178.78

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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.