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Finding the Fourth Proportional to 208.64, 311.68 and 159.87

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Solution

The fourth proportional to 208.64, 311.68 and 159.87 is: 238.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.64 : 311.68 = 159.87 : x
  2. Step 2: Convert to fraction form
    208.64/311.68 = 159.87/x
  3. Step 3: Cross multiply
    208.64x = 311.68 × 159.87
  4. Step 4: Simplify right side
    208.64x = 49,829.65
  5. Step 5: Solve for x
    x = 49,829.65/208.64
  6. Step 6: Final answer
    x = 238.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.