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Finding the Fourth Proportional to 91.94, 138.60 and 86.08

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Solution

The fourth proportional to 91.94, 138.60 and 86.08 is: 129.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.94 : 138.60 = 86.08 : x
  2. Step 2: Convert to fraction form
    91.94/138.60 = 86.08/x
  3. Step 3: Cross multiply
    91.94x = 138.60 × 86.08
  4. Step 4: Simplify right side
    91.94x = 11,930.69
  5. Step 5: Solve for x
    x = 11,930.69/91.94
  6. Step 6: Final answer
    x = 129.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.