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Finding the Fourth Proportional to 97.84, 135.09 and 92.97

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Solution

The fourth proportional to 97.84, 135.09 and 92.97 is: 128.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.84 : 135.09 = 92.97 : x
  2. Step 2: Convert to fraction form
    97.84/135.09 = 92.97/x
  3. Step 3: Cross multiply
    97.84x = 135.09 × 92.97
  4. Step 4: Simplify right side
    97.84x = 12,559.32
  5. Step 5: Solve for x
    x = 12,559.32/97.84
  6. Step 6: Final answer
    x = 128.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.