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Finding the Fourth Proportional to 177.40, 243.21 and 174.71

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Solution

The fourth proportional to 177.40, 243.21 and 174.71 is: 239.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.40 : 243.21 = 174.71 : x
  2. Step 2: Convert to fraction form
    177.40/243.21 = 174.71/x
  3. Step 3: Cross multiply
    177.40x = 243.21 × 174.71
  4. Step 4: Simplify right side
    177.40x = 42,491.22
  5. Step 5: Solve for x
    x = 42,491.22/177.40
  6. Step 6: Final answer
    x = 239.52

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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.