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Finding the Fourth Proportional to 169.18, 254.05 and 105.46

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Solution

The fourth proportional to 169.18, 254.05 and 105.46 is: 158.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.18 : 254.05 = 105.46 : x
  2. Step 2: Convert to fraction form
    169.18/254.05 = 105.46/x
  3. Step 3: Cross multiply
    169.18x = 254.05 × 105.46
  4. Step 4: Simplify right side
    169.18x = 26,791.21
  5. Step 5: Solve for x
    x = 26,791.21/169.18
  6. Step 6: Final answer
    x = 158.36

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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.