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Finding the Fourth Proportional to 200.07, 300.11 and 194.13

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Solution

The fourth proportional to 200.07, 300.11 and 194.13 is: 291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.07 : 300.11 = 194.13 : x
  2. Step 2: Convert to fraction form
    200.07/300.11 = 194.13/x
  3. Step 3: Cross multiply
    200.07x = 300.11 × 194.13
  4. Step 4: Simplify right side
    200.07x = 58,259.38
  5. Step 5: Solve for x
    x = 58,259.38/200.07
  6. Step 6: Final answer
    x = 291.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.