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Finding the Fourth Proportional to 211.19, 314.39 and 208.85

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Solution

The fourth proportional to 211.19, 314.39 and 208.85 is: 310.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.19 : 314.39 = 208.85 : x
  2. Step 2: Convert to fraction form
    211.19/314.39 = 208.85/x
  3. Step 3: Cross multiply
    211.19x = 314.39 × 208.85
  4. Step 4: Simplify right side
    211.19x = 65,659.30
  5. Step 5: Solve for x
    x = 65,659.30/211.19
  6. Step 6: Final answer
    x = 310.91

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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.