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Finding the Fourth Proportional to 91.99, 138.80 and 89.97

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Solution

The fourth proportional to 91.99, 138.80 and 89.97 is: 135.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.99 : 138.80 = 89.97 : x
  2. Step 2: Convert to fraction form
    91.99/138.80 = 89.97/x
  3. Step 3: Cross multiply
    91.99x = 138.80 × 89.97
  4. Step 4: Simplify right side
    91.99x = 12,487.84
  5. Step 5: Solve for x
    x = 12,487.84/91.99
  6. Step 6: Final answer
    x = 135.75

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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.