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Finding the Fourth Proportional to 179.18, 247.34 and 120.20

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Solution

The fourth proportional to 179.18, 247.34 and 120.20 is: 165.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.18 : 247.34 = 120.20 : x
  2. Step 2: Convert to fraction form
    179.18/247.34 = 120.20/x
  3. Step 3: Cross multiply
    179.18x = 247.34 × 120.20
  4. Step 4: Simplify right side
    179.18x = 29,729.33
  5. Step 5: Solve for x
    x = 29,729.33/179.18
  6. Step 6: Final answer
    x = 165.92

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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.