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Finding the Fourth Proportional to 174.92, 240.84 and 158.72

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Solution

The fourth proportional to 174.92, 240.84 and 158.72 is: 218.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.92 : 240.84 = 158.72 : x
  2. Step 2: Convert to fraction form
    174.92/240.84 = 158.72/x
  3. Step 3: Cross multiply
    174.92x = 240.84 × 158.72
  4. Step 4: Simplify right side
    174.92x = 38,226.12
  5. Step 5: Solve for x
    x = 38,226.12/174.92
  6. Step 6: Final answer
    x = 218.53

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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.