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Finding the Fourth Proportional to 103.44, 154.55 and 99.85

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Solution

The fourth proportional to 103.44, 154.55 and 99.85 is: 149.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.44 : 154.55 = 99.85 : x
  2. Step 2: Convert to fraction form
    103.44/154.55 = 99.85/x
  3. Step 3: Cross multiply
    103.44x = 154.55 × 99.85
  4. Step 4: Simplify right side
    103.44x = 15,431.82
  5. Step 5: Solve for x
    x = 15,431.82/103.44
  6. Step 6: Final answer
    x = 149.19

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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.