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Finding the Fourth Proportional to 447.23, 672.05 and 241.95

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Solution

The fourth proportional to 447.23, 672.05 and 241.95 is: 363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.23 : 672.05 = 241.95 : x
  2. Step 2: Convert to fraction form
    447.23/672.05 = 241.95/x
  3. Step 3: Cross multiply
    447.23x = 672.05 × 241.95
  4. Step 4: Simplify right side
    447.23x = 162,602.50
  5. Step 5: Solve for x
    x = 162,602.50/447.23
  6. Step 6: Final answer
    x = 363.58

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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.