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Finding the Fourth Proportional to 208.13, 311.81 and 142.11

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Solution

The fourth proportional to 208.13, 311.81 and 142.11 is: 212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.13 : 311.81 = 142.11 : x
  2. Step 2: Convert to fraction form
    208.13/311.81 = 142.11/x
  3. Step 3: Cross multiply
    208.13x = 311.81 × 142.11
  4. Step 4: Simplify right side
    208.13x = 44,310.61
  5. Step 5: Solve for x
    x = 44,310.61/208.13
  6. Step 6: Final answer
    x = 212.90

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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.