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Finding the Fourth Proportional to 148.67, 221.70 and 133.31

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Solution

The fourth proportional to 148.67, 221.70 and 133.31 is: 198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.67 : 221.70 = 133.31 : x
  2. Step 2: Convert to fraction form
    148.67/221.70 = 133.31/x
  3. Step 3: Cross multiply
    148.67x = 221.70 × 133.31
  4. Step 4: Simplify right side
    148.67x = 29,555.88
  5. Step 5: Solve for x
    x = 29,555.88/148.67
  6. Step 6: Final answer
    x = 198.80

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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.