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Finding the Fourth Proportional to 214.24, 319.20 and 205.92

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Solution

The fourth proportional to 214.24, 319.20 and 205.92 is: 306.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.24 : 319.20 = 205.92 : x
  2. Step 2: Convert to fraction form
    214.24/319.20 = 205.92/x
  3. Step 3: Cross multiply
    214.24x = 319.20 × 205.92
  4. Step 4: Simplify right side
    214.24x = 65,729.66
  5. Step 5: Solve for x
    x = 65,729.66/214.24
  6. Step 6: Final answer
    x = 306.80

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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.