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Finding the Fourth Proportional to 138.75, 191.14 and 116.57

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Solution

The fourth proportional to 138.75, 191.14 and 116.57 is: 160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.75 : 191.14 = 116.57 : x
  2. Step 2: Convert to fraction form
    138.75/191.14 = 116.57/x
  3. Step 3: Cross multiply
    138.75x = 191.14 × 116.57
  4. Step 4: Simplify right side
    138.75x = 22,282.03
  5. Step 5: Solve for x
    x = 22,282.03/138.75
  6. Step 6: Final answer
    x = 160.60

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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.