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Finding the Fourth Proportional to 213.92, 322.02 and 182.60

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Solution

The fourth proportional to 213.92, 322.02 and 182.60 is: 274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.92 : 322.02 = 182.60 : x
  2. Step 2: Convert to fraction form
    213.92/322.02 = 182.60/x
  3. Step 3: Cross multiply
    213.92x = 322.02 × 182.60
  4. Step 4: Simplify right side
    213.92x = 58,800.74
  5. Step 5: Solve for x
    x = 58,800.74/213.92
  6. Step 6: Final answer
    x = 274.87

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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.