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Finding the Fourth Proportional to 208.19, 310.86 and 206.69

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Solution

The fourth proportional to 208.19, 310.86 and 206.69 is: 308.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.19 : 310.86 = 206.69 : x
  2. Step 2: Convert to fraction form
    208.19/310.86 = 206.69/x
  3. Step 3: Cross multiply
    208.19x = 310.86 × 206.69
  4. Step 4: Simplify right side
    208.19x = 64,250.10
  5. Step 5: Solve for x
    x = 64,250.10/208.19
  6. Step 6: Final answer
    x = 308.61

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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.