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Finding the Fourth Proportional to 214.35, 319.00 and 212.19

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Solution

The fourth proportional to 214.35, 319.00 and 212.19 is: 315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.35 : 319.00 = 212.19 : x
  2. Step 2: Convert to fraction form
    214.35/319.00 = 212.19/x
  3. Step 3: Cross multiply
    214.35x = 319.00 × 212.19
  4. Step 4: Simplify right side
    214.35x = 67,688.08
  5. Step 5: Solve for x
    x = 67,688.08/214.35
  6. Step 6: Final answer
    x = 315.78

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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.