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Finding the Fourth Proportional to 174.13, 240.18 and 111.86

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Solution

The fourth proportional to 174.13, 240.18 and 111.86 is: 154.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.13 : 240.18 = 111.86 : x
  2. Step 2: Convert to fraction form
    174.13/240.18 = 111.86/x
  3. Step 3: Cross multiply
    174.13x = 240.18 × 111.86
  4. Step 4: Simplify right side
    174.13x = 26,865.33
  5. Step 5: Solve for x
    x = 26,865.33/174.13
  6. Step 6: Final answer
    x = 154.29

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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.