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Finding the Fourth Proportional to 137.90, 207.66 and 99.65

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Solution

The fourth proportional to 137.90, 207.66 and 99.65 is: 150.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.90 : 207.66 = 99.65 : x
  2. Step 2: Convert to fraction form
    137.90/207.66 = 99.65/x
  3. Step 3: Cross multiply
    137.90x = 207.66 × 99.65
  4. Step 4: Simplify right side
    137.90x = 20,691.78
  5. Step 5: Solve for x
    x = 20,691.78/137.90
  6. Step 6: Final answer
    x = 150.05

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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.