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Finding the Fourth Proportional to 91.95, 138.62 and 91.14

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Solution

The fourth proportional to 91.95, 138.62 and 91.14 is: 137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.95 : 138.62 = 91.14 : x
  2. Step 2: Convert to fraction form
    91.95/138.62 = 91.14/x
  3. Step 3: Cross multiply
    91.95x = 138.62 × 91.14
  4. Step 4: Simplify right side
    91.95x = 12,633.37
  5. Step 5: Solve for x
    x = 12,633.37/91.95
  6. Step 6: Final answer
    x = 137.39

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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.