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Finding the Fourth Proportional to 181.76, 271.12 and 177.92

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Solution

The fourth proportional to 181.76, 271.12 and 177.92 is: 265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.76 : 271.12 = 177.92 : x
  2. Step 2: Convert to fraction form
    181.76/271.12 = 177.92/x
  3. Step 3: Cross multiply
    181.76x = 271.12 × 177.92
  4. Step 4: Simplify right side
    181.76x = 48,237.67
  5. Step 5: Solve for x
    x = 48,237.67/181.76
  6. Step 6: Final answer
    x = 265.39

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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.