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Finding the Fourth Proportional to 259.97, 388.01 and 198.81

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Solution

The fourth proportional to 259.97, 388.01 and 198.81 is: 296.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.97 : 388.01 = 198.81 : x
  2. Step 2: Convert to fraction form
    259.97/388.01 = 198.81/x
  3. Step 3: Cross multiply
    259.97x = 388.01 × 198.81
  4. Step 4: Simplify right side
    259.97x = 77,140.77
  5. Step 5: Solve for x
    x = 77,140.77/259.97
  6. Step 6: Final answer
    x = 296.74

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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.