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Finding the Fourth Proportional to 177.28, 243.05 and 174.04

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Solution

The fourth proportional to 177.28, 243.05 and 174.04 is: 238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.28 : 243.05 = 174.04 : x
  2. Step 2: Convert to fraction form
    177.28/243.05 = 174.04/x
  3. Step 3: Cross multiply
    177.28x = 243.05 × 174.04
  4. Step 4: Simplify right side
    177.28x = 42,300.42
  5. Step 5: Solve for x
    x = 42,300.42/177.28
  6. Step 6: Final answer
    x = 238.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.