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Finding the Fourth Proportional to 135.97, 187.85 and 105.12

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Solution

The fourth proportional to 135.97, 187.85 and 105.12 is: 145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.97 : 187.85 = 105.12 : x
  2. Step 2: Convert to fraction form
    135.97/187.85 = 105.12/x
  3. Step 3: Cross multiply
    135.97x = 187.85 × 105.12
  4. Step 4: Simplify right side
    135.97x = 19,747.05
  5. Step 5: Solve for x
    x = 19,747.05/135.97
  6. Step 6: Final answer
    x = 145.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.