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Finding the Fourth Proportional to 139.01, 207.67 and 100.16

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Solution

The fourth proportional to 139.01, 207.67 and 100.16 is: 149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.01 : 207.67 = 100.16 : x
  2. Step 2: Convert to fraction form
    139.01/207.67 = 100.16/x
  3. Step 3: Cross multiply
    139.01x = 207.67 × 100.16
  4. Step 4: Simplify right side
    139.01x = 20,799.73
  5. Step 5: Solve for x
    x = 20,799.73/139.01
  6. Step 6: Final answer
    x = 149.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.