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Finding the Fourth Proportional to 447.09, 616.90 and 291.75

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Solution

The fourth proportional to 447.09, 616.90 and 291.75 is: 402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.09 : 616.90 = 291.75 : x
  2. Step 2: Convert to fraction form
    447.09/616.90 = 291.75/x
  3. Step 3: Cross multiply
    447.09x = 616.90 × 291.75
  4. Step 4: Simplify right side
    447.09x = 179,980.58
  5. Step 5: Solve for x
    x = 179,980.58/447.09
  6. Step 6: Final answer
    x = 402.56

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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.