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Finding the Fourth Proportional to 208.14, 311.76 and 156.87

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Solution

The fourth proportional to 208.14, 311.76 and 156.87 is: 234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.14 : 311.76 = 156.87 : x
  2. Step 2: Convert to fraction form
    208.14/311.76 = 156.87/x
  3. Step 3: Cross multiply
    208.14x = 311.76 × 156.87
  4. Step 4: Simplify right side
    208.14x = 48,905.79
  5. Step 5: Solve for x
    x = 48,905.79/208.14
  6. Step 6: Final answer
    x = 234.97

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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.