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Finding the Fourth Proportional to 104.50, 155.76 and 103.48

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Solution

The fourth proportional to 104.50, 155.76 and 103.48 is: 154.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.50 : 155.76 = 103.48 : x
  2. Step 2: Convert to fraction form
    104.50/155.76 = 103.48/x
  3. Step 3: Cross multiply
    104.50x = 155.76 × 103.48
  4. Step 4: Simplify right side
    104.50x = 16,118.04
  5. Step 5: Solve for x
    x = 16,118.04/104.50
  6. Step 6: Final answer
    x = 154.24

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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.