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Finding the Fourth Proportional to 105.66, 159.39 and 104.31

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Solution

The fourth proportional to 105.66, 159.39 and 104.31 is: 157.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.66 : 159.39 = 104.31 : x
  2. Step 2: Convert to fraction form
    105.66/159.39 = 104.31/x
  3. Step 3: Cross multiply
    105.66x = 159.39 × 104.31
  4. Step 4: Simplify right side
    105.66x = 16,625.97
  5. Step 5: Solve for x
    x = 16,625.97/105.66
  6. Step 6: Final answer
    x = 157.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.