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Finding the Fourth Proportional to 200.19, 298.25 and 199.38

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Solution

The fourth proportional to 200.19, 298.25 and 199.38 is: 297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.19 : 298.25 = 199.38 : x
  2. Step 2: Convert to fraction form
    200.19/298.25 = 199.38/x
  3. Step 3: Cross multiply
    200.19x = 298.25 × 199.38
  4. Step 4: Simplify right side
    200.19x = 59,465.12
  5. Step 5: Solve for x
    x = 59,465.12/200.19
  6. Step 6: Final answer
    x = 297.05

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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.