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Finding the Fourth Proportional to 111.40, 167.10 and 104.65

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Solution

The fourth proportional to 111.40, 167.10 and 104.65 is: 156.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.40 : 167.10 = 104.65 : x
  2. Step 2: Convert to fraction form
    111.40/167.10 = 104.65/x
  3. Step 3: Cross multiply
    111.40x = 167.10 × 104.65
  4. Step 4: Simplify right side
    111.40x = 17,487.02
  5. Step 5: Solve for x
    x = 17,487.02/111.40
  6. Step 6: Final answer
    x = 156.98

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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.