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Finding the Fourth Proportional to 111.34, 153.51 and 80.27

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Solution

The fourth proportional to 111.34, 153.51 and 80.27 is: 110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.34 : 153.51 = 80.27 : x
  2. Step 2: Convert to fraction form
    111.34/153.51 = 80.27/x
  3. Step 3: Cross multiply
    111.34x = 153.51 × 80.27
  4. Step 4: Simplify right side
    111.34x = 12,321.44
  5. Step 5: Solve for x
    x = 12,321.44/111.34
  6. Step 6: Final answer
    x = 110.66

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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.