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Finding the Fourth Proportional to 200.02, 299.84 and 108.61

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Solution

The fourth proportional to 200.02, 299.84 and 108.61 is: 162.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.02 : 299.84 = 108.61 : x
  2. Step 2: Convert to fraction form
    200.02/299.84 = 108.61/x
  3. Step 3: Cross multiply
    200.02x = 299.84 × 108.61
  4. Step 4: Simplify right side
    200.02x = 32,565.14
  5. Step 5: Solve for x
    x = 32,565.14/200.02
  6. Step 6: Final answer
    x = 162.81

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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.