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Finding the Fourth Proportional to 214.22, 319.78 and 186.88

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Solution

The fourth proportional to 214.22, 319.78 and 186.88 is: 278.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.22 : 319.78 = 186.88 : x
  2. Step 2: Convert to fraction form
    214.22/319.78 = 186.88/x
  3. Step 3: Cross multiply
    214.22x = 319.78 × 186.88
  4. Step 4: Simplify right side
    214.22x = 59,760.49
  5. Step 5: Solve for x
    x = 59,760.49/214.22
  6. Step 6: Final answer
    x = 278.97

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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.