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Finding the Fourth Proportional to 157.44, 216.90 and 129.72

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Solution

The fourth proportional to 157.44, 216.90 and 129.72 is: 178.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.44 : 216.90 = 129.72 : x
  2. Step 2: Convert to fraction form
    157.44/216.90 = 129.72/x
  3. Step 3: Cross multiply
    157.44x = 216.90 × 129.72
  4. Step 4: Simplify right side
    157.44x = 28,136.27
  5. Step 5: Solve for x
    x = 28,136.27/157.44
  6. Step 6: Final answer
    x = 178.71

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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.