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Finding the Fourth Proportional to 112.25, 167.41 and 103.16

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Solution

The fourth proportional to 112.25, 167.41 and 103.16 is: 153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.25 : 167.41 = 103.16 : x
  2. Step 2: Convert to fraction form
    112.25/167.41 = 103.16/x
  3. Step 3: Cross multiply
    112.25x = 167.41 × 103.16
  4. Step 4: Simplify right side
    112.25x = 17,270.02
  5. Step 5: Solve for x
    x = 17,270.02/112.25
  6. Step 6: Final answer
    x = 153.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.