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Finding the Fourth Proportional to 214.74, 323.46 and 199.72

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Solution

The fourth proportional to 214.74, 323.46 and 199.72 is: 300.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.74 : 323.46 = 199.72 : x
  2. Step 2: Convert to fraction form
    214.74/323.46 = 199.72/x
  3. Step 3: Cross multiply
    214.74x = 323.46 × 199.72
  4. Step 4: Simplify right side
    214.74x = 64,601.43
  5. Step 5: Solve for x
    x = 64,601.43/214.74
  6. Step 6: Final answer
    x = 300.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.