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Finding the Fourth Proportional to 214.66, 321.74 and 182.06

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Solution

The fourth proportional to 214.66, 321.74 and 182.06 is: 272.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.66 : 321.74 = 182.06 : x
  2. Step 2: Convert to fraction form
    214.66/321.74 = 182.06/x
  3. Step 3: Cross multiply
    214.66x = 321.74 × 182.06
  4. Step 4: Simplify right side
    214.66x = 58,575.98
  5. Step 5: Solve for x
    x = 58,575.98/214.66
  6. Step 6: Final answer
    x = 272.88

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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.