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Finding the Fourth Proportional to 214.92, 324.21 and 210.12

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Solution

The fourth proportional to 214.92, 324.21 and 210.12 is: 316.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.92 : 324.21 = 210.12 : x
  2. Step 2: Convert to fraction form
    214.92/324.21 = 210.12/x
  3. Step 3: Cross multiply
    214.92x = 324.21 × 210.12
  4. Step 4: Simplify right side
    214.92x = 68,123.01
  5. Step 5: Solve for x
    x = 68,123.01/214.92
  6. Step 6: Final answer
    x = 316.97

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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.