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Finding the Fourth Proportional to 318.44, 477.69 and 112.96

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Solution

The fourth proportional to 318.44, 477.69 and 112.96 is: 169.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.44 : 477.69 = 112.96 : x
  2. Step 2: Convert to fraction form
    318.44/477.69 = 112.96/x
  3. Step 3: Cross multiply
    318.44x = 477.69 × 112.96
  4. Step 4: Simplify right side
    318.44x = 53,959.86
  5. Step 5: Solve for x
    x = 53,959.86/318.44
  6. Step 6: Final answer
    x = 169.45

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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.