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Finding the Fourth Proportional to 103.14, 143.04 and 99.48

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Solution

The fourth proportional to 103.14, 143.04 and 99.48 is: 137.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.14 : 143.04 = 99.48 : x
  2. Step 2: Convert to fraction form
    103.14/143.04 = 99.48/x
  3. Step 3: Cross multiply
    103.14x = 143.04 × 99.48
  4. Step 4: Simplify right side
    103.14x = 14,229.62
  5. Step 5: Solve for x
    x = 14,229.62/103.14
  6. Step 6: Final answer
    x = 137.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.