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Finding the Fourth Proportional to 209.32, 311.75 and 208.11

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Solution

The fourth proportional to 209.32, 311.75 and 208.11 is: 309.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.32 : 311.75 = 208.11 : x
  2. Step 2: Convert to fraction form
    209.32/311.75 = 208.11/x
  3. Step 3: Cross multiply
    209.32x = 311.75 × 208.11
  4. Step 4: Simplify right side
    209.32x = 64,878.29
  5. Step 5: Solve for x
    x = 64,878.29/209.32
  6. Step 6: Final answer
    x = 309.95

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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.