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Finding the Fourth Proportional to 318.47, 478.01 and 196.97

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Solution

The fourth proportional to 318.47, 478.01 and 196.97 is: 295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.47 : 478.01 = 196.97 : x
  2. Step 2: Convert to fraction form
    318.47/478.01 = 196.97/x
  3. Step 3: Cross multiply
    318.47x = 478.01 × 196.97
  4. Step 4: Simplify right side
    318.47x = 94,155.32
  5. Step 5: Solve for x
    x = 94,155.32/318.47
  6. Step 6: Final answer
    x = 295.65

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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.