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Finding the Fourth Proportional to 177.82, 265.66 and 171.76

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Solution

The fourth proportional to 177.82, 265.66 and 171.76 is: 256.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.82 : 265.66 = 171.76 : x
  2. Step 2: Convert to fraction form
    177.82/265.66 = 171.76/x
  3. Step 3: Cross multiply
    177.82x = 265.66 × 171.76
  4. Step 4: Simplify right side
    177.82x = 45,629.76
  5. Step 5: Solve for x
    x = 45,629.76/177.82
  6. Step 6: Final answer
    x = 256.61

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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.