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Finding the Fourth Proportional to 179.52, 247.35 and 121.20

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Solution

The fourth proportional to 179.52, 247.35 and 121.20 is: 166.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.52 : 247.35 = 121.20 : x
  2. Step 2: Convert to fraction form
    179.52/247.35 = 121.20/x
  3. Step 3: Cross multiply
    179.52x = 247.35 × 121.20
  4. Step 4: Simplify right side
    179.52x = 29,977.58
  5. Step 5: Solve for x
    x = 29,977.58/179.52
  6. Step 6: Final answer
    x = 166.99

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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.