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Finding the Fourth Proportional to 105.98, 144.40 and 103.76

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Solution

The fourth proportional to 105.98, 144.40 and 103.76 is: 141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.98 : 144.40 = 103.76 : x
  2. Step 2: Convert to fraction form
    105.98/144.40 = 103.76/x
  3. Step 3: Cross multiply
    105.98x = 144.40 × 103.76
  4. Step 4: Simplify right side
    105.98x = 14,982.94
  5. Step 5: Solve for x
    x = 14,982.94/105.98
  6. Step 6: Final answer
    x = 141.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.