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Finding the Fourth Proportional to 319.62, 440.91 and 214.73

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Solution

The fourth proportional to 319.62, 440.91 and 214.73 is: 296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.62 : 440.91 = 214.73 : x
  2. Step 2: Convert to fraction form
    319.62/440.91 = 214.73/x
  3. Step 3: Cross multiply
    319.62x = 440.91 × 214.73
  4. Step 4: Simplify right side
    319.62x = 94,676.05
  5. Step 5: Solve for x
    x = 94,676.05/319.62
  6. Step 6: Final answer
    x = 296.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.