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Finding the Fourth Proportional to 177.86, 267.72 and 161.09

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Solution

The fourth proportional to 177.86, 267.72 and 161.09 is: 242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.86 : 267.72 = 161.09 : x
  2. Step 2: Convert to fraction form
    177.86/267.72 = 161.09/x
  3. Step 3: Cross multiply
    177.86x = 267.72 × 161.09
  4. Step 4: Simplify right side
    177.86x = 43,127.01
  5. Step 5: Solve for x
    x = 43,127.01/177.86
  6. Step 6: Final answer
    x = 242.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.