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Finding the Fourth Proportional to 98.33, 146.91 and 82.13

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Solution

The fourth proportional to 98.33, 146.91 and 82.13 is: 122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.33 : 146.91 = 82.13 : x
  2. Step 2: Convert to fraction form
    98.33/146.91 = 82.13/x
  3. Step 3: Cross multiply
    98.33x = 146.91 × 82.13
  4. Step 4: Simplify right side
    98.33x = 12,065.31
  5. Step 5: Solve for x
    x = 12,065.31/98.33
  6. Step 6: Final answer
    x = 122.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.