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Finding the Fourth Proportional to 79.32, 118.97 and 31.22

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Solution

The fourth proportional to 79.32, 118.97 and 31.22 is: 46.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.32 : 118.97 = 31.22 : x
  2. Step 2: Convert to fraction form
    79.32/118.97 = 31.22/x
  3. Step 3: Cross multiply
    79.32x = 118.97 × 31.22
  4. Step 4: Simplify right side
    79.32x = 3,714.09
  5. Step 5: Solve for x
    x = 3,714.09/79.32
  6. Step 6: Final answer
    x = 46.82

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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.