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Finding the Fourth Proportional to 209.84, 316.60 and 208.22

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Solution

The fourth proportional to 209.84, 316.60 and 208.22 is: 314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.84 : 316.60 = 208.22 : x
  2. Step 2: Convert to fraction form
    209.84/316.60 = 208.22/x
  3. Step 3: Cross multiply
    209.84x = 316.60 × 208.22
  4. Step 4: Simplify right side
    209.84x = 65,922.45
  5. Step 5: Solve for x
    x = 65,922.45/209.84
  6. Step 6: Final answer
    x = 314.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.