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Finding the Fourth Proportional to 170.52, 254.18 and 161.40

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Solution

The fourth proportional to 170.52, 254.18 and 161.40 is: 240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.52 : 254.18 = 161.40 : x
  2. Step 2: Convert to fraction form
    170.52/254.18 = 161.40/x
  3. Step 3: Cross multiply
    170.52x = 254.18 × 161.40
  4. Step 4: Simplify right side
    170.52x = 41,024.65
  5. Step 5: Solve for x
    x = 41,024.65/170.52
  6. Step 6: Final answer
    x = 240.59

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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.