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Finding the Fourth Proportional to 148.88, 224.34 and 122.42

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Solution

The fourth proportional to 148.88, 224.34 and 122.42 is: 184.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.88 : 224.34 = 122.42 : x
  2. Step 2: Convert to fraction form
    148.88/224.34 = 122.42/x
  3. Step 3: Cross multiply
    148.88x = 224.34 × 122.42
  4. Step 4: Simplify right side
    148.88x = 27,463.83
  5. Step 5: Solve for x
    x = 27,463.83/148.88
  6. Step 6: Final answer
    x = 184.47

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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.