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Finding the Fourth Proportional to 584.27, 876.31 and 214

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Solution

The fourth proportional to 584.27, 876.31 and 214 is: 320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.27 : 876.31 = 214 : x
  2. Step 2: Convert to fraction form
    584.27/876.31 = 214/x
  3. Step 3: Cross multiply
    584.27x = 876.31 × 214
  4. Step 4: Simplify right side
    584.27x = 187,529.27
  5. Step 5: Solve for x
    x = 187,529.27/584.27
  6. Step 6: Final answer
    x = 320.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.