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Finding the Fourth Proportional to 149.44, 225.10 and 138.82

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Solution

The fourth proportional to 149.44, 225.10 and 138.82 is: 209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.44 : 225.10 = 138.82 : x
  2. Step 2: Convert to fraction form
    149.44/225.10 = 138.82/x
  3. Step 3: Cross multiply
    149.44x = 225.10 × 138.82
  4. Step 4: Simplify right side
    149.44x = 31,248.38
  5. Step 5: Solve for x
    x = 31,248.38/149.44
  6. Step 6: Final answer
    x = 209.10

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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.