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Finding the Fourth Proportional to 447.42, 672.38 and 264.90

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Solution

The fourth proportional to 447.42, 672.38 and 264.90 is: 398.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.42 : 672.38 = 264.90 : x
  2. Step 2: Convert to fraction form
    447.42/672.38 = 264.90/x
  3. Step 3: Cross multiply
    447.42x = 672.38 × 264.90
  4. Step 4: Simplify right side
    447.42x = 178,113.46
  5. Step 5: Solve for x
    x = 178,113.46/447.42
  6. Step 6: Final answer
    x = 398.09

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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.