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Finding the Fourth Proportional to 211.60, 314.90 and 209.44

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Solution

The fourth proportional to 211.60, 314.90 and 209.44 is: 311.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.60 : 314.90 = 209.44 : x
  2. Step 2: Convert to fraction form
    211.60/314.90 = 209.44/x
  3. Step 3: Cross multiply
    211.60x = 314.90 × 209.44
  4. Step 4: Simplify right side
    211.60x = 65,952.66
  5. Step 5: Solve for x
    x = 65,952.66/211.60
  6. Step 6: Final answer
    x = 311.69

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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.