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Finding the Fourth Proportional to 318.25, 477.38 and 147.25

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Solution

The fourth proportional to 318.25, 477.38 and 147.25 is: 220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.25 : 477.38 = 147.25 : x
  2. Step 2: Convert to fraction form
    318.25/477.38 = 147.25/x
  3. Step 3: Cross multiply
    318.25x = 477.38 × 147.25
  4. Step 4: Simplify right side
    318.25x = 70,294.21
  5. Step 5: Solve for x
    x = 70,294.21/318.25
  6. Step 6: Final answer
    x = 220.88

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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.