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Finding the Fourth Proportional to 213.71, 321.71 and 183.94

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Solution

The fourth proportional to 213.71, 321.71 and 183.94 is: 276.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.71 : 321.71 = 183.94 : x
  2. Step 2: Convert to fraction form
    213.71/321.71 = 183.94/x
  3. Step 3: Cross multiply
    213.71x = 321.71 × 183.94
  4. Step 4: Simplify right side
    213.71x = 59,173.61
  5. Step 5: Solve for x
    x = 59,173.61/213.71
  6. Step 6: Final answer
    x = 276.89

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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.