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Finding the Fourth Proportional to 177.36, 243.17 and 174.30

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Solution

The fourth proportional to 177.36, 243.17 and 174.30 is: 238.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.36 : 243.17 = 174.30 : x
  2. Step 2: Convert to fraction form
    177.36/243.17 = 174.30/x
  3. Step 3: Cross multiply
    177.36x = 243.17 × 174.30
  4. Step 4: Simplify right side
    177.36x = 42,384.53
  5. Step 5: Solve for x
    x = 42,384.53/177.36
  6. Step 6: Final answer
    x = 238.97

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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.