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Finding the Fourth Proportional to 214.26, 319.82 and 196.00

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Solution

The fourth proportional to 214.26, 319.82 and 196.00 is: 292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.26 : 319.82 = 196.00 : x
  2. Step 2: Convert to fraction form
    214.26/319.82 = 196.00/x
  3. Step 3: Cross multiply
    214.26x = 319.82 × 196.00
  4. Step 4: Simplify right side
    214.26x = 62,683.14
  5. Step 5: Solve for x
    x = 62,683.14/214.26
  6. Step 6: Final answer
    x = 292.56

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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.