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Finding the Fourth Proportional to 91.94, 137.79 and 34.11

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Solution

The fourth proportional to 91.94, 137.79 and 34.11 is: 51.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.94 : 137.79 = 34.11 : x
  2. Step 2: Convert to fraction form
    91.94/137.79 = 34.11/x
  3. Step 3: Cross multiply
    91.94x = 137.79 × 34.11
  4. Step 4: Simplify right side
    91.94x = 4,700.02
  5. Step 5: Solve for x
    x = 4,700.02/91.94
  6. Step 6: Final answer
    x = 51.12

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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.