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Finding the Fourth Proportional to 157.17, 216.76 and 132.57

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Solution

The fourth proportional to 157.17, 216.76 and 132.57 is: 182.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.17 : 216.76 = 132.57 : x
  2. Step 2: Convert to fraction form
    157.17/216.76 = 132.57/x
  3. Step 3: Cross multiply
    157.17x = 216.76 × 132.57
  4. Step 4: Simplify right side
    157.17x = 28,735.79
  5. Step 5: Solve for x
    x = 28,735.79/157.17
  6. Step 6: Final answer
    x = 182.83

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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.