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Finding the Fourth Proportional to 98.11, 135.51 and 85.79

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Solution

The fourth proportional to 98.11, 135.51 and 85.79 is: 118.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.11 : 135.51 = 85.79 : x
  2. Step 2: Convert to fraction form
    98.11/135.51 = 85.79/x
  3. Step 3: Cross multiply
    98.11x = 135.51 × 85.79
  4. Step 4: Simplify right side
    98.11x = 11,625.42
  5. Step 5: Solve for x
    x = 11,625.42/98.11
  6. Step 6: Final answer
    x = 118.49

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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.