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Finding the Fourth Proportional to 437.81, 656.57 and 129.65

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Solution

The fourth proportional to 437.81, 656.57 and 129.65 is: 194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.81 : 656.57 = 129.65 : x
  2. Step 2: Convert to fraction form
    437.81/656.57 = 129.65/x
  3. Step 3: Cross multiply
    437.81x = 656.57 × 129.65
  4. Step 4: Simplify right side
    437.81x = 85,121.34
  5. Step 5: Solve for x
    x = 85,121.34/437.81
  6. Step 6: Final answer
    x = 194.43

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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.