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Finding the Fourth Proportional to 447.96, 672.21 and 159.38

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Solution

The fourth proportional to 447.96, 672.21 and 159.38 is: 239.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.96 : 672.21 = 159.38 : x
  2. Step 2: Convert to fraction form
    447.96/672.21 = 159.38/x
  3. Step 3: Cross multiply
    447.96x = 672.21 × 159.38
  4. Step 4: Simplify right side
    447.96x = 107,133.47
  5. Step 5: Solve for x
    x = 107,133.47/447.96
  6. Step 6: Final answer
    x = 239.16

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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.