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Finding the Fourth Proportional to 181.28, 269.76 and 179.76

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Solution

The fourth proportional to 181.28, 269.76 and 179.76 is: 267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.28 : 269.76 = 179.76 : x
  2. Step 2: Convert to fraction form
    181.28/269.76 = 179.76/x
  3. Step 3: Cross multiply
    181.28x = 269.76 × 179.76
  4. Step 4: Simplify right side
    181.28x = 48,492.06
  5. Step 5: Solve for x
    x = 48,492.06/181.28
  6. Step 6: Final answer
    x = 267.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.