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Finding the Fourth Proportional to 437.46, 656.11 and 144.97

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Solution

The fourth proportional to 437.46, 656.11 and 144.97 is: 217.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.46 : 656.11 = 144.97 : x
  2. Step 2: Convert to fraction form
    437.46/656.11 = 144.97/x
  3. Step 3: Cross multiply
    437.46x = 656.11 × 144.97
  4. Step 4: Simplify right side
    437.46x = 95,114.81
  5. Step 5: Solve for x
    x = 95,114.81/437.46
  6. Step 6: Final answer
    x = 217.42

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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.