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Finding the Fourth Proportional to 112.33, 155.20 and 86.20

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Solution

The fourth proportional to 112.33, 155.20 and 86.20 is: 119.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.33 : 155.20 = 86.20 : x
  2. Step 2: Convert to fraction form
    112.33/155.20 = 86.20/x
  3. Step 3: Cross multiply
    112.33x = 155.20 × 86.20
  4. Step 4: Simplify right side
    112.33x = 13,377.64
  5. Step 5: Solve for x
    x = 13,377.64/112.33
  6. Step 6: Final answer
    x = 119.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.