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Finding the Fourth Proportional to 447.54, 672.54 and 265.08

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Solution

The fourth proportional to 447.54, 672.54 and 265.08 is: 398.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.54 : 672.54 = 265.08 : x
  2. Step 2: Convert to fraction form
    447.54/672.54 = 265.08/x
  3. Step 3: Cross multiply
    447.54x = 672.54 × 265.08
  4. Step 4: Simplify right side
    447.54x = 178,276.90
  5. Step 5: Solve for x
    x = 178,276.90/447.54
  6. Step 6: Final answer
    x = 398.35

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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.