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Finding the Fourth Proportional to 200.24, 298.81 and 198.52

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Solution

The fourth proportional to 200.24, 298.81 and 198.52 is: 296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.24 : 298.81 = 198.52 : x
  2. Step 2: Convert to fraction form
    200.24/298.81 = 198.52/x
  3. Step 3: Cross multiply
    200.24x = 298.81 × 198.52
  4. Step 4: Simplify right side
    200.24x = 59,319.76
  5. Step 5: Solve for x
    x = 59,319.76/200.24
  6. Step 6: Final answer
    x = 296.24

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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.