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Finding the Fourth Proportional to 112.98, 169.45 and 31.80

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Solution

The fourth proportional to 112.98, 169.45 and 31.80 is: 47.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.98 : 169.45 = 31.80 : x
  2. Step 2: Convert to fraction form
    112.98/169.45 = 31.80/x
  3. Step 3: Cross multiply
    112.98x = 169.45 × 31.80
  4. Step 4: Simplify right side
    112.98x = 5,388.35
  5. Step 5: Solve for x
    x = 5,388.35/112.98
  6. Step 6: Final answer
    x = 47.69

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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.