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Finding the Fourth Proportional to 211.32, 318.78 and 208.62

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Solution

The fourth proportional to 211.32, 318.78 and 208.62 is: 314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.32 : 318.78 = 208.62 : x
  2. Step 2: Convert to fraction form
    211.32/318.78 = 208.62/x
  3. Step 3: Cross multiply
    211.32x = 318.78 × 208.62
  4. Step 4: Simplify right side
    211.32x = 66,503.88
  5. Step 5: Solve for x
    x = 66,503.88/211.32
  6. Step 6: Final answer
    x = 314.71

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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.