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Finding the Fourth Proportional to 169.90, 254.81 and 78.57

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Solution

The fourth proportional to 169.90, 254.81 and 78.57 is: 117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.90 : 254.81 = 78.57 : x
  2. Step 2: Convert to fraction form
    169.90/254.81 = 78.57/x
  3. Step 3: Cross multiply
    169.90x = 254.81 × 78.57
  4. Step 4: Simplify right side
    169.90x = 20,020.62
  5. Step 5: Solve for x
    x = 20,020.62/169.90
  6. Step 6: Final answer
    x = 117.84

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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.