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Finding the Fourth Proportional to 177.80, 264.78 and 171.72

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Solution

The fourth proportional to 177.80, 264.78 and 171.72 is: 255.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.80 : 264.78 = 171.72 : x
  2. Step 2: Convert to fraction form
    177.80/264.78 = 171.72/x
  3. Step 3: Cross multiply
    177.80x = 264.78 × 171.72
  4. Step 4: Simplify right side
    177.80x = 45,468.02
  5. Step 5: Solve for x
    x = 45,468.02/177.80
  6. Step 6: Final answer
    x = 255.73

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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.