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Finding the Fourth Proportional to 149.39, 223.72 and 101.15

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Solution

The fourth proportional to 149.39, 223.72 and 101.15 is: 151.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.39 : 223.72 = 101.15 : x
  2. Step 2: Convert to fraction form
    149.39/223.72 = 101.15/x
  3. Step 3: Cross multiply
    149.39x = 223.72 × 101.15
  4. Step 4: Simplify right side
    149.39x = 22,629.28
  5. Step 5: Solve for x
    x = 22,629.28/149.39
  6. Step 6: Final answer
    x = 151.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.