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Finding the Fourth Proportional to 211.67, 317.82 and 130.85

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Solution

The fourth proportional to 211.67, 317.82 and 130.85 is: 196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.67 : 317.82 = 130.85 : x
  2. Step 2: Convert to fraction form
    211.67/317.82 = 130.85/x
  3. Step 3: Cross multiply
    211.67x = 317.82 × 130.85
  4. Step 4: Simplify right side
    211.67x = 41,586.75
  5. Step 5: Solve for x
    x = 41,586.75/211.67
  6. Step 6: Final answer
    x = 196.47

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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.