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Finding the Fourth Proportional to 98.39, 135.64 and 83.68

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Solution

The fourth proportional to 98.39, 135.64 and 83.68 is: 115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.39 : 135.64 = 83.68 : x
  2. Step 2: Convert to fraction form
    98.39/135.64 = 83.68/x
  3. Step 3: Cross multiply
    98.39x = 135.64 × 83.68
  4. Step 4: Simplify right side
    98.39x = 11,350.12
  5. Step 5: Solve for x
    x = 11,350.12/98.39
  6. Step 6: Final answer
    x = 115.36

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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.