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Finding the Fourth Proportional to 174.02, 240.17 and 111.83

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Solution

The fourth proportional to 174.02, 240.17 and 111.83 is: 154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.02 : 240.17 = 111.83 : x
  2. Step 2: Convert to fraction form
    174.02/240.17 = 111.83/x
  3. Step 3: Cross multiply
    174.02x = 240.17 × 111.83
  4. Step 4: Simplify right side
    174.02x = 26,856.45
  5. Step 5: Solve for x
    x = 26,856.45/174.02
  6. Step 6: Final answer
    x = 154.33

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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.