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Finding the Fourth Proportional to 148.70, 224.14 and 142.52

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Solution

The fourth proportional to 148.70, 224.14 and 142.52 is: 214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.70 : 224.14 = 142.52 : x
  2. Step 2: Convert to fraction form
    148.70/224.14 = 142.52/x
  3. Step 3: Cross multiply
    148.70x = 224.14 × 142.52
  4. Step 4: Simplify right side
    148.70x = 31,943.72
  5. Step 5: Solve for x
    x = 31,943.72/148.70
  6. Step 6: Final answer
    x = 214.83

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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.