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Finding the Fourth Proportional to 105.32, 156.85 and 104.92

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Solution

The fourth proportional to 105.32, 156.85 and 104.92 is: 156.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.32 : 156.85 = 104.92 : x
  2. Step 2: Convert to fraction form
    105.32/156.85 = 104.92/x
  3. Step 3: Cross multiply
    105.32x = 156.85 × 104.92
  4. Step 4: Simplify right side
    105.32x = 16,456.05
  5. Step 5: Solve for x
    x = 16,456.05/105.32
  6. Step 6: Final answer
    x = 156.24

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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.