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Finding the Fourth Proportional to 214.79, 324.51 and 212.52

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Solution

The fourth proportional to 214.79, 324.51 and 212.52 is: 321.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.79 : 324.51 = 212.52 : x
  2. Step 2: Convert to fraction form
    214.79/324.51 = 212.52/x
  3. Step 3: Cross multiply
    214.79x = 324.51 × 212.52
  4. Step 4: Simplify right side
    214.79x = 68,965.29
  5. Step 5: Solve for x
    x = 68,965.29/214.79
  6. Step 6: Final answer
    x = 321.09

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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.