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Finding the Fourth Proportional to 173.49, 238.71 and 169.38

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Solution

The fourth proportional to 173.49, 238.71 and 169.38 is: 233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.49 : 238.71 = 169.38 : x
  2. Step 2: Convert to fraction form
    173.49/238.71 = 169.38/x
  3. Step 3: Cross multiply
    173.49x = 238.71 × 169.38
  4. Step 4: Simplify right side
    173.49x = 40,432.70
  5. Step 5: Solve for x
    x = 40,432.70/173.49
  6. Step 6: Final answer
    x = 233.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.