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Finding the Fourth Proportional to 105.66, 156.69 and 104.31

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Solution

The fourth proportional to 105.66, 156.69 and 104.31 is: 154.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.66 : 156.69 = 104.31 : x
  2. Step 2: Convert to fraction form
    105.66/156.69 = 104.31/x
  3. Step 3: Cross multiply
    105.66x = 156.69 × 104.31
  4. Step 4: Simplify right side
    105.66x = 16,344.33
  5. Step 5: Solve for x
    x = 16,344.33/105.66
  6. Step 6: Final answer
    x = 154.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.