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Finding the Fourth Proportional to 213.93, 322.01 and 182.61

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Solution

The fourth proportional to 213.93, 322.01 and 182.61 is: 274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.93 : 322.01 = 182.61 : x
  2. Step 2: Convert to fraction form
    213.93/322.01 = 182.61/x
  3. Step 3: Cross multiply
    213.93x = 322.01 × 182.61
  4. Step 4: Simplify right side
    213.93x = 58,801.33
  5. Step 5: Solve for x
    x = 58,801.33/213.93
  6. Step 6: Final answer
    x = 274.86

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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.