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Finding the Fourth Proportional to 179.76, 271.92 and 178.56

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Solution

The fourth proportional to 179.76, 271.92 and 178.56 is: 270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.76 : 271.92 = 178.56 : x
  2. Step 2: Convert to fraction form
    179.76/271.92 = 178.56/x
  3. Step 3: Cross multiply
    179.76x = 271.92 × 178.56
  4. Step 4: Simplify right side
    179.76x = 48,554.04
  5. Step 5: Solve for x
    x = 48,554.04/179.76
  6. Step 6: Final answer
    x = 270.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.