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Finding the Fourth Proportional to 177.11, 243.81 and 145.97

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Solution

The fourth proportional to 177.11, 243.81 and 145.97 is: 200.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.11 : 243.81 = 145.97 : x
  2. Step 2: Convert to fraction form
    177.11/243.81 = 145.97/x
  3. Step 3: Cross multiply
    177.11x = 243.81 × 145.97
  4. Step 4: Simplify right side
    177.11x = 35,588.95
  5. Step 5: Solve for x
    x = 35,588.95/177.11
  6. Step 6: Final answer
    x = 200.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.