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Finding the Fourth Proportional to 98.36, 135.79 and 72.11

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Solution

The fourth proportional to 98.36, 135.79 and 72.11 is: 99.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.36 : 135.79 = 72.11 : x
  2. Step 2: Convert to fraction form
    98.36/135.79 = 72.11/x
  3. Step 3: Cross multiply
    98.36x = 135.79 × 72.11
  4. Step 4: Simplify right side
    98.36x = 9,790.96
  5. Step 5: Solve for x
    x = 9,790.96/98.36
  6. Step 6: Final answer
    x = 99.55

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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.