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Finding the Fourth Proportional to 97.78, 135.10 and 66.80

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Solution

The fourth proportional to 97.78, 135.10 and 66.80 is: 92.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.78 : 135.10 = 66.80 : x
  2. Step 2: Convert to fraction form
    97.78/135.10 = 66.80/x
  3. Step 3: Cross multiply
    97.78x = 135.10 × 66.80
  4. Step 4: Simplify right side
    97.78x = 9,024.68
  5. Step 5: Solve for x
    x = 9,024.68/97.78
  6. Step 6: Final answer
    x = 92.30

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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.