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Finding the Fourth Proportional to 135.97, 187.78 and 94.56

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Solution

The fourth proportional to 135.97, 187.78 and 94.56 is: 130.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.97 : 187.78 = 94.56 : x
  2. Step 2: Convert to fraction form
    135.97/187.78 = 94.56/x
  3. Step 3: Cross multiply
    135.97x = 187.78 × 94.56
  4. Step 4: Simplify right side
    135.97x = 17,756.48
  5. Step 5: Solve for x
    x = 17,756.48/135.97
  6. Step 6: Final answer
    x = 130.59

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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.