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Finding the Fourth Proportional to 97.79, 135.07 and 66.80

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Solution

The fourth proportional to 97.79, 135.07 and 66.80 is: 92.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.79 : 135.07 = 66.80 : x
  2. Step 2: Convert to fraction form
    97.79/135.07 = 66.80/x
  3. Step 3: Cross multiply
    97.79x = 135.07 × 66.80
  4. Step 4: Simplify right side
    97.79x = 9,022.85
  5. Step 5: Solve for x
    x = 9,022.85/97.79
  6. Step 6: Final answer
    x = 92.27

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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.