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Finding the Fourth Proportional to 345.02, 517.17 and 113.85

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Solution

The fourth proportional to 345.02, 517.17 and 113.85 is: 170.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.02 : 517.17 = 113.85 : x
  2. Step 2: Convert to fraction form
    345.02/517.17 = 113.85/x
  3. Step 3: Cross multiply
    345.02x = 517.17 × 113.85
  4. Step 4: Simplify right side
    345.02x = 58,879.80
  5. Step 5: Solve for x
    x = 58,879.80/345.02
  6. Step 6: Final answer
    x = 170.66

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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.