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Finding the Fourth Proportional to 148.72, 223.40 and 106.24

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Solution

The fourth proportional to 148.72, 223.40 and 106.24 is: 159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.72 : 223.40 = 106.24 : x
  2. Step 2: Convert to fraction form
    148.72/223.40 = 106.24/x
  3. Step 3: Cross multiply
    148.72x = 223.40 × 106.24
  4. Step 4: Simplify right side
    148.72x = 23,734.02
  5. Step 5: Solve for x
    x = 23,734.02/148.72
  6. Step 6: Final answer
    x = 159.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.