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Finding the Fourth Proportional to 148.46, 224.01 and 142.83

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Solution

The fourth proportional to 148.46, 224.01 and 142.83 is: 215.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.46 : 224.01 = 142.83 : x
  2. Step 2: Convert to fraction form
    148.46/224.01 = 142.83/x
  3. Step 3: Cross multiply
    148.46x = 224.01 × 142.83
  4. Step 4: Simplify right side
    148.46x = 31,995.35
  5. Step 5: Solve for x
    x = 31,995.35/148.46
  6. Step 6: Final answer
    x = 215.52

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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.