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Finding the Fourth Proportional to 173.28, 260.97 and 137.46

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Solution

The fourth proportional to 173.28, 260.97 and 137.46 is: 207.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.28 : 260.97 = 137.46 : x
  2. Step 2: Convert to fraction form
    173.28/260.97 = 137.46/x
  3. Step 3: Cross multiply
    173.28x = 260.97 × 137.46
  4. Step 4: Simplify right side
    173.28x = 35,872.94
  5. Step 5: Solve for x
    x = 35,872.94/173.28
  6. Step 6: Final answer
    x = 207.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.