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Finding the Fourth Proportional to 179.55, 247.52 and 120.43

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Solution

The fourth proportional to 179.55, 247.52 and 120.43 is: 166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.55 : 247.52 = 120.43 : x
  2. Step 2: Convert to fraction form
    179.55/247.52 = 120.43/x
  3. Step 3: Cross multiply
    179.55x = 247.52 × 120.43
  4. Step 4: Simplify right side
    179.55x = 29,809.44
  5. Step 5: Solve for x
    x = 29,809.44/179.55
  6. Step 6: Final answer
    x = 166.02

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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.