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Finding the Fourth Proportional to 149.73, 223.21 and 147.39

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Solution

The fourth proportional to 149.73, 223.21 and 147.39 is: 219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.73 : 223.21 = 147.39 : x
  2. Step 2: Convert to fraction form
    149.73/223.21 = 147.39/x
  3. Step 3: Cross multiply
    149.73x = 223.21 × 147.39
  4. Step 4: Simplify right side
    149.73x = 32,899.29
  5. Step 5: Solve for x
    x = 32,899.29/149.73
  6. Step 6: Final answer
    x = 219.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.