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Finding the Fourth Proportional to 111.17, 167.27 and 104.49

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Solution

The fourth proportional to 111.17, 167.27 and 104.49 is: 157.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.17 : 167.27 = 104.49 : x
  2. Step 2: Convert to fraction form
    111.17/167.27 = 104.49/x
  3. Step 3: Cross multiply
    111.17x = 167.27 × 104.49
  4. Step 4: Simplify right side
    111.17x = 17,477.52
  5. Step 5: Solve for x
    x = 17,477.52/111.17
  6. Step 6: Final answer
    x = 157.21

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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.