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Finding the Fourth Proportional to 149.96, 207.02 and 100.92

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Solution

The fourth proportional to 149.96, 207.02 and 100.92 is: 139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.96 : 207.02 = 100.92 : x
  2. Step 2: Convert to fraction form
    149.96/207.02 = 100.92/x
  3. Step 3: Cross multiply
    149.96x = 207.02 × 100.92
  4. Step 4: Simplify right side
    149.96x = 20,892.46
  5. Step 5: Solve for x
    x = 20,892.46/149.96
  6. Step 6: Final answer
    x = 139.32

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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.