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Finding the Fourth Proportional to 319.38, 479.12 and 102.91

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Solution

The fourth proportional to 319.38, 479.12 and 102.91 is: 154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.38 : 479.12 = 102.91 : x
  2. Step 2: Convert to fraction form
    319.38/479.12 = 102.91/x
  3. Step 3: Cross multiply
    319.38x = 479.12 × 102.91
  4. Step 4: Simplify right side
    319.38x = 49,306.24
  5. Step 5: Solve for x
    x = 49,306.24/319.38
  6. Step 6: Final answer
    x = 154.38

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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.