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Finding the Fourth Proportional to 91.84, 138.24 and 64.97

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Solution

The fourth proportional to 91.84, 138.24 and 64.97 is: 97.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.84 : 138.24 = 64.97 : x
  2. Step 2: Convert to fraction form
    91.84/138.24 = 64.97/x
  3. Step 3: Cross multiply
    91.84x = 138.24 × 64.97
  4. Step 4: Simplify right side
    91.84x = 8,981.13
  5. Step 5: Solve for x
    x = 8,981.13/91.84
  6. Step 6: Final answer
    x = 97.80

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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.