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Finding the Fourth Proportional to 148.62, 224.09 and 135.66

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Solution

The fourth proportional to 148.62, 224.09 and 135.66 is: 204.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.62 : 224.09 = 135.66 : x
  2. Step 2: Convert to fraction form
    148.62/224.09 = 135.66/x
  3. Step 3: Cross multiply
    148.62x = 224.09 × 135.66
  4. Step 4: Simplify right side
    148.62x = 30,399.37
  5. Step 5: Solve for x
    x = 30,399.37/148.62
  6. Step 6: Final answer
    x = 204.54

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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.