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Finding the Fourth Proportional to 157.12, 217.04 and 138.76

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Solution

The fourth proportional to 157.12, 217.04 and 138.76 is: 191.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.12 : 217.04 = 138.76 : x
  2. Step 2: Convert to fraction form
    157.12/217.04 = 138.76/x
  3. Step 3: Cross multiply
    157.12x = 217.04 × 138.76
  4. Step 4: Simplify right side
    157.12x = 30,116.47
  5. Step 5: Solve for x
    x = 30,116.47/157.12
  6. Step 6: Final answer
    x = 191.68

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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.