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Finding the Fourth Proportional to 134.59, 201.70 and 91.75

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Solution

The fourth proportional to 134.59, 201.70 and 91.75 is: 137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.59 : 201.70 = 91.75 : x
  2. Step 2: Convert to fraction form
    134.59/201.70 = 91.75/x
  3. Step 3: Cross multiply
    134.59x = 201.70 × 91.75
  4. Step 4: Simplify right side
    134.59x = 18,505.98
  5. Step 5: Solve for x
    x = 18,505.98/134.59
  6. Step 6: Final answer
    x = 137.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.