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Finding the Fourth Proportional to 175.52, 261.71 and 173.39

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Solution

The fourth proportional to 175.52, 261.71 and 173.39 is: 258.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.52 : 261.71 = 173.39 : x
  2. Step 2: Convert to fraction form
    175.52/261.71 = 173.39/x
  3. Step 3: Cross multiply
    175.52x = 261.71 × 173.39
  4. Step 4: Simplify right side
    175.52x = 45,377.90
  5. Step 5: Solve for x
    x = 45,377.90/175.52
  6. Step 6: Final answer
    x = 258.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.