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Finding the Fourth Proportional to 211.75, 318.20 and 197.91

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Solution

The fourth proportional to 211.75, 318.20 and 197.91 is: 297.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.75 : 318.20 = 197.91 : x
  2. Step 2: Convert to fraction form
    211.75/318.20 = 197.91/x
  3. Step 3: Cross multiply
    211.75x = 318.20 × 197.91
  4. Step 4: Simplify right side
    211.75x = 62,973.97
  5. Step 5: Solve for x
    x = 62,973.97/211.75
  6. Step 6: Final answer
    x = 297.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.