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Finding the Fourth Proportional to 148.28, 223.72 and 141.56

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Solution

The fourth proportional to 148.28, 223.72 and 141.56 is: 213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.28 : 223.72 = 141.56 : x
  2. Step 2: Convert to fraction form
    148.28/223.72 = 141.56/x
  3. Step 3: Cross multiply
    148.28x = 223.72 × 141.56
  4. Step 4: Simplify right side
    148.28x = 31,669.80
  5. Step 5: Solve for x
    x = 31,669.80/148.28
  6. Step 6: Final answer
    x = 213.58

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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.