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Finding the Fourth Proportional to 98.09, 135.69 and 86.60

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Solution

The fourth proportional to 98.09, 135.69 and 86.60 is: 119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.09 : 135.69 = 86.60 : x
  2. Step 2: Convert to fraction form
    98.09/135.69 = 86.60/x
  3. Step 3: Cross multiply
    98.09x = 135.69 × 86.60
  4. Step 4: Simplify right side
    98.09x = 11,750.75
  5. Step 5: Solve for x
    x = 11,750.75/98.09
  6. Step 6: Final answer
    x = 119.80

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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.