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Finding the Fourth Proportional to 104.92, 156.44 and 103.24

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Solution

The fourth proportional to 104.92, 156.44 and 103.24 is: 153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.92 : 156.44 = 103.24 : x
  2. Step 2: Convert to fraction form
    104.92/156.44 = 103.24/x
  3. Step 3: Cross multiply
    104.92x = 156.44 × 103.24
  4. Step 4: Simplify right side
    104.92x = 16,150.87
  5. Step 5: Solve for x
    x = 16,150.87/104.92
  6. Step 6: Final answer
    x = 153.94

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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.