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Finding the Fourth Proportional to 170.44, 254.23 and 167.65

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Solution

The fourth proportional to 170.44, 254.23 and 167.65 is: 250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.44 : 254.23 = 167.65 : x
  2. Step 2: Convert to fraction form
    170.44/254.23 = 167.65/x
  3. Step 3: Cross multiply
    170.44x = 254.23 × 167.65
  4. Step 4: Simplify right side
    170.44x = 42,620.60
  5. Step 5: Solve for x
    x = 42,620.60/170.44
  6. Step 6: Final answer
    x = 250.07

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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.