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Finding the Fourth Proportional to 447.40, 616.98 and 292.12

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Solution

The fourth proportional to 447.40, 616.98 and 292.12 is: 402.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.40 : 616.98 = 292.12 : x
  2. Step 2: Convert to fraction form
    447.40/616.98 = 292.12/x
  3. Step 3: Cross multiply
    447.40x = 616.98 × 292.12
  4. Step 4: Simplify right side
    447.40x = 180,232.20
  5. Step 5: Solve for x
    x = 180,232.20/447.40
  6. Step 6: Final answer
    x = 402.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.