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Finding the Fourth Proportional to 148.63, 221.76 and 133.24

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Solution

The fourth proportional to 148.63, 221.76 and 133.24 is: 198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.63 : 221.76 = 133.24 : x
  2. Step 2: Convert to fraction form
    148.63/221.76 = 133.24/x
  3. Step 3: Cross multiply
    148.63x = 221.76 × 133.24
  4. Step 4: Simplify right side
    148.63x = 29,546.75
  5. Step 5: Solve for x
    x = 29,546.75/148.63
  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.