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Finding the Fourth Proportional to 148.95, 224.60 and 147.42

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Solution

The fourth proportional to 148.95, 224.60 and 147.42 is: 222.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.95 : 224.60 = 147.42 : x
  2. Step 2: Convert to fraction form
    148.95/224.60 = 147.42/x
  3. Step 3: Cross multiply
    148.95x = 224.60 × 147.42
  4. Step 4: Simplify right side
    148.95x = 33,109.79
  5. Step 5: Solve for x
    x = 33,109.79/148.95
  6. Step 6: Final answer
    x = 222.29

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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.