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Finding the Fourth Proportional to 181.28, 251.92 and 178.98

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Solution

The fourth proportional to 181.28, 251.92 and 178.98 is: 248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.28 : 251.92 = 178.98 : x
  2. Step 2: Convert to fraction form
    181.28/251.92 = 178.98/x
  3. Step 3: Cross multiply
    181.28x = 251.92 × 178.98
  4. Step 4: Simplify right side
    181.28x = 45,088.64
  5. Step 5: Solve for x
    x = 45,088.64/181.28
  6. Step 6: Final answer
    x = 248.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.