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Finding the Fourth Proportional to 179.38, 268.80 and 147.52

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Solution

The fourth proportional to 179.38, 268.80 and 147.52 is: 221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.38 : 268.80 = 147.52 : x
  2. Step 2: Convert to fraction form
    179.38/268.80 = 147.52/x
  3. Step 3: Cross multiply
    179.38x = 268.80 × 147.52
  4. Step 4: Simplify right side
    179.38x = 39,653.38
  5. Step 5: Solve for x
    x = 39,653.38/179.38
  6. Step 6: Final answer
    x = 221.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.