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Finding the Fourth Proportional to 149.70, 225.42 and 111.45

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Solution

The fourth proportional to 149.70, 225.42 and 111.45 is: 167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.70 : 225.42 = 111.45 : x
  2. Step 2: Convert to fraction form
    149.70/225.42 = 111.45/x
  3. Step 3: Cross multiply
    149.70x = 225.42 × 111.45
  4. Step 4: Simplify right side
    149.70x = 25,123.49
  5. Step 5: Solve for x
    x = 25,123.49/149.70
  6. Step 6: Final answer
    x = 167.82

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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.