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Finding the Fourth Proportional to 478.11, 716.22 and 280.29

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Solution

The fourth proportional to 478.11, 716.22 and 280.29 is: 419.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.11 : 716.22 = 280.29 : x
  2. Step 2: Convert to fraction form
    478.11/716.22 = 280.29/x
  3. Step 3: Cross multiply
    478.11x = 716.22 × 280.29
  4. Step 4: Simplify right side
    478.11x = 200,749.30
  5. Step 5: Solve for x
    x = 200,749.30/478.11
  6. Step 6: Final answer
    x = 419.88

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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.