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Finding the Fourth Proportional to 214.39, 319.33 and 209.89

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Solution

The fourth proportional to 214.39, 319.33 and 209.89 is: 312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.39 : 319.33 = 209.89 : x
  2. Step 2: Convert to fraction form
    214.39/319.33 = 209.89/x
  3. Step 3: Cross multiply
    214.39x = 319.33 × 209.89
  4. Step 4: Simplify right side
    214.39x = 67,024.24
  5. Step 5: Solve for x
    x = 67,024.24/214.39
  6. Step 6: Final answer
    x = 312.63

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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.