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Finding the Fourth Proportional to 170.49, 255.61 and 138.57

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Solution

The fourth proportional to 170.49, 255.61 and 138.57 is: 207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.49 : 255.61 = 138.57 : x
  2. Step 2: Convert to fraction form
    170.49/255.61 = 138.57/x
  3. Step 3: Cross multiply
    170.49x = 255.61 × 138.57
  4. Step 4: Simplify right side
    170.49x = 35,419.88
  5. Step 5: Solve for x
    x = 35,419.88/170.49
  6. Step 6: Final answer
    x = 207.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.