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Finding the Fourth Proportional to 157.46, 217.22 and 129.81

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Solution

The fourth proportional to 157.46, 217.22 and 129.81 is: 179.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.46 : 217.22 = 129.81 : x
  2. Step 2: Convert to fraction form
    157.46/217.22 = 129.81/x
  3. Step 3: Cross multiply
    157.46x = 217.22 × 129.81
  4. Step 4: Simplify right side
    157.46x = 28,196.68
  5. Step 5: Solve for x
    x = 28,196.68/157.46
  6. Step 6: Final answer
    x = 179.08

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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.