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Finding the Fourth Proportional to 104.49, 143.46 and 96.30

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Solution

The fourth proportional to 104.49, 143.46 and 96.30 is: 132.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.49 : 143.46 = 96.30 : x
  2. Step 2: Convert to fraction form
    104.49/143.46 = 96.30/x
  3. Step 3: Cross multiply
    104.49x = 143.46 × 96.30
  4. Step 4: Simplify right side
    104.49x = 13,815.20
  5. Step 5: Solve for x
    x = 13,815.20/104.49
  6. Step 6: Final answer
    x = 132.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.