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Finding the Fourth Proportional to 138.74, 209.05 and 114.90

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Solution

The fourth proportional to 138.74, 209.05 and 114.90 is: 173.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.74 : 209.05 = 114.90 : x
  2. Step 2: Convert to fraction form
    138.74/209.05 = 114.90/x
  3. Step 3: Cross multiply
    138.74x = 209.05 × 114.90
  4. Step 4: Simplify right side
    138.74x = 24,019.71
  5. Step 5: Solve for x
    x = 24,019.71/138.74
  6. Step 6: Final answer
    x = 173.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.