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Finding the Fourth Proportional to 157.61, 217.71 and 126.48

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Solution

The fourth proportional to 157.61, 217.71 and 126.48 is: 174.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.61 : 217.71 = 126.48 : x
  2. Step 2: Convert to fraction form
    157.61/217.71 = 126.48/x
  3. Step 3: Cross multiply
    157.61x = 217.71 × 126.48
  4. Step 4: Simplify right side
    157.61x = 27,535.96
  5. Step 5: Solve for x
    x = 27,535.96/157.61
  6. Step 6: Final answer
    x = 174.72

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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.