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Finding the Fourth Proportional to 200.12, 300.32 and 102.76

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Solution

The fourth proportional to 200.12, 300.32 and 102.76 is: 154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.12 : 300.32 = 102.76 : x
  2. Step 2: Convert to fraction form
    200.12/300.32 = 102.76/x
  3. Step 3: Cross multiply
    200.12x = 300.32 × 102.76
  4. Step 4: Simplify right side
    200.12x = 30,860.39
  5. Step 5: Solve for x
    x = 30,860.39/200.12
  6. Step 6: Final answer
    x = 154.21

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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.