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Finding the Fourth Proportional to 200.75, 299.55 and 199.02

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Solution

The fourth proportional to 200.75, 299.55 and 199.02 is: 296.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.75 : 299.55 = 199.02 : x
  2. Step 2: Convert to fraction form
    200.75/299.55 = 199.02/x
  3. Step 3: Cross multiply
    200.75x = 299.55 × 199.02
  4. Step 4: Simplify right side
    200.75x = 59,616.44
  5. Step 5: Solve for x
    x = 59,616.44/200.75
  6. Step 6: Final answer
    x = 296.98

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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.