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Finding the Fourth Proportional to 200.04, 298.27 and 199.77

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Solution

The fourth proportional to 200.04, 298.27 and 199.77 is: 297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.04 : 298.27 = 199.77 : x
  2. Step 2: Convert to fraction form
    200.04/298.27 = 199.77/x
  3. Step 3: Cross multiply
    200.04x = 298.27 × 199.77
  4. Step 4: Simplify right side
    200.04x = 59,585.90
  5. Step 5: Solve for x
    x = 59,585.90/200.04
  6. Step 6: Final answer
    x = 297.87

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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.