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Finding the Fourth Proportional to 175.20, 261.18 and 167.94

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Solution

The fourth proportional to 175.20, 261.18 and 167.94 is: 250.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.20 : 261.18 = 167.94 : x
  2. Step 2: Convert to fraction form
    175.20/261.18 = 167.94/x
  3. Step 3: Cross multiply
    175.20x = 261.18 × 167.94
  4. Step 4: Simplify right side
    175.20x = 43,862.57
  5. Step 5: Solve for x
    x = 43,862.57/175.20
  6. Step 6: Final answer
    x = 250.36

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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.