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Finding the Fourth Proportional to 149.38, 225.37 and 148.98

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Solution

The fourth proportional to 149.38, 225.37 and 148.98 is: 224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.38 : 225.37 = 148.98 : x
  2. Step 2: Convert to fraction form
    149.38/225.37 = 148.98/x
  3. Step 3: Cross multiply
    149.38x = 225.37 × 148.98
  4. Step 4: Simplify right side
    149.38x = 33,575.62
  5. Step 5: Solve for x
    x = 33,575.62/149.38
  6. Step 6: Final answer
    x = 224.77

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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.