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Finding the Fourth Proportional to 177.96, 264.77 and 167.72

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Solution

The fourth proportional to 177.96, 264.77 and 167.72 is: 249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.96 : 264.77 = 167.72 : x
  2. Step 2: Convert to fraction form
    177.96/264.77 = 167.72/x
  3. Step 3: Cross multiply
    177.96x = 264.77 × 167.72
  4. Step 4: Simplify right side
    177.96x = 44,407.22
  5. Step 5: Solve for x
    x = 44,407.22/177.96
  6. Step 6: Final answer
    x = 249.53

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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.