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Finding the Fourth Proportional to 157.96, 217.99 and 102.71

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Solution

The fourth proportional to 157.96, 217.99 and 102.71 is: 141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.96 : 217.99 = 102.71 : x
  2. Step 2: Convert to fraction form
    157.96/217.99 = 102.71/x
  3. Step 3: Cross multiply
    157.96x = 217.99 × 102.71
  4. Step 4: Simplify right side
    157.96x = 22,390.04
  5. Step 5: Solve for x
    x = 22,390.04/157.96
  6. Step 6: Final answer
    x = 141.75

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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.