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Finding the Fourth Proportional to 319.30, 479.04 and 113.86

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Solution

The fourth proportional to 319.30, 479.04 and 113.86 is: 170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.30 : 479.04 = 113.86 : x
  2. Step 2: Convert to fraction form
    319.30/479.04 = 113.86/x
  3. Step 3: Cross multiply
    319.30x = 479.04 × 113.86
  4. Step 4: Simplify right side
    319.30x = 54,543.49
  5. Step 5: Solve for x
    x = 54,543.49/319.30
  6. Step 6: Final answer
    x = 170.82

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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.