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Finding the Fourth Proportional to 213.98, 319.49 and 191.87

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Solution

The fourth proportional to 213.98, 319.49 and 191.87 is: 286.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.98 : 319.49 = 191.87 : x
  2. Step 2: Convert to fraction form
    213.98/319.49 = 191.87/x
  3. Step 3: Cross multiply
    213.98x = 319.49 × 191.87
  4. Step 4: Simplify right side
    213.98x = 61,297.99
  5. Step 5: Solve for x
    x = 61,297.99/213.98
  6. Step 6: Final answer
    x = 286.47

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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.