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Finding the Fourth Proportional to 208.06, 311.92 and 142.86

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Solution

The fourth proportional to 208.06, 311.92 and 142.86 is: 214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.06 : 311.92 = 142.86 : x
  2. Step 2: Convert to fraction form
    208.06/311.92 = 142.86/x
  3. Step 3: Cross multiply
    208.06x = 311.92 × 142.86
  4. Step 4: Simplify right side
    208.06x = 44,559.75
  5. Step 5: Solve for x
    x = 44,559.75/208.06
  6. Step 6: Final answer
    x = 214.17

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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.