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Finding the Fourth Proportional to 157.43, 217.12 and 102.15

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Solution

The fourth proportional to 157.43, 217.12 and 102.15 is: 140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.43 : 217.12 = 102.15 : x
  2. Step 2: Convert to fraction form
    157.43/217.12 = 102.15/x
  3. Step 3: Cross multiply
    157.43x = 217.12 × 102.15
  4. Step 4: Simplify right side
    157.43x = 22,178.81
  5. Step 5: Solve for x
    x = 22,178.81/157.43
  6. Step 6: Final answer
    x = 140.88

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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.