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Finding the Fourth Proportional to 173.29, 258.68 and 137.38

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Solution

The fourth proportional to 173.29, 258.68 and 137.38 is: 205.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.29 : 258.68 = 137.38 : x
  2. Step 2: Convert to fraction form
    173.29/258.68 = 137.38/x
  3. Step 3: Cross multiply
    173.29x = 258.68 × 137.38
  4. Step 4: Simplify right side
    173.29x = 35,537.46
  5. Step 5: Solve for x
    x = 35,537.46/173.29
  6. Step 6: Final answer
    x = 205.08

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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.