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Finding the Fourth Proportional to 200.86, 299.01 and 199.78

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Solution

The fourth proportional to 200.86, 299.01 and 199.78 is: 297.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.86 : 299.01 = 199.78 : x
  2. Step 2: Convert to fraction form
    200.86/299.01 = 199.78/x
  3. Step 3: Cross multiply
    200.86x = 299.01 × 199.78
  4. Step 4: Simplify right side
    200.86x = 59,736.22
  5. Step 5: Solve for x
    x = 59,736.22/200.86
  6. Step 6: Final answer
    x = 297.40

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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.