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Finding the Fourth Proportional to 148.49, 221.26 and 132.33

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Solution

The fourth proportional to 148.49, 221.26 and 132.33 is: 197.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.49 : 221.26 = 132.33 : x
  2. Step 2: Convert to fraction form
    148.49/221.26 = 132.33/x
  3. Step 3: Cross multiply
    148.49x = 221.26 × 132.33
  4. Step 4: Simplify right side
    148.49x = 29,277.57
  5. Step 5: Solve for x
    x = 29,277.57/148.49
  6. Step 6: Final answer
    x = 197.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.