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Finding the Fourth Proportional to 478.28, 717.41 and 185.71

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Solution

The fourth proportional to 478.28, 717.41 and 185.71 is: 278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.28 : 717.41 = 185.71 : x
  2. Step 2: Convert to fraction form
    478.28/717.41 = 185.71/x
  3. Step 3: Cross multiply
    478.28x = 717.41 × 185.71
  4. Step 4: Simplify right side
    478.28x = 133,230.21
  5. Step 5: Solve for x
    x = 133,230.21/478.28
  6. Step 6: Final answer
    x = 278.56

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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.