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Finding the Fourth Proportional to 170.38, 254.46 and 161.07

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Solution

The fourth proportional to 170.38, 254.46 and 161.07 is: 240.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.38 : 254.46 = 161.07 : x
  2. Step 2: Convert to fraction form
    170.38/254.46 = 161.07/x
  3. Step 3: Cross multiply
    170.38x = 254.46 × 161.07
  4. Step 4: Simplify right side
    170.38x = 40,984.60
  5. Step 5: Solve for x
    x = 40,984.60/170.38
  6. Step 6: Final answer
    x = 240.55

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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.