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Finding the Fourth Proportional to 122.33, 167.88 and 111.40

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Solution

The fourth proportional to 122.33, 167.88 and 111.40 is: 152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.33 : 167.88 = 111.40 : x
  2. Step 2: Convert to fraction form
    122.33/167.88 = 111.40/x
  3. Step 3: Cross multiply
    122.33x = 167.88 × 111.40
  4. Step 4: Simplify right side
    122.33x = 18,701.83
  5. Step 5: Solve for x
    x = 18,701.83/122.33
  6. Step 6: Final answer
    x = 152.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.