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Finding the Fourth Proportional to 318.09, 477.17 and 112.63

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Solution

The fourth proportional to 318.09, 477.17 and 112.63 is: 168.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.09 : 477.17 = 112.63 : x
  2. Step 2: Convert to fraction form
    318.09/477.17 = 112.63/x
  3. Step 3: Cross multiply
    318.09x = 477.17 × 112.63
  4. Step 4: Simplify right side
    318.09x = 53,743.09
  5. Step 5: Solve for x
    x = 53,743.09/318.09
  6. Step 6: Final answer
    x = 168.96

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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.