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Finding the Fourth Proportional to 213.28, 296.37 and 211.05

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Solution

The fourth proportional to 213.28, 296.37 and 211.05 is: 293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.28 : 296.37 = 211.05 : x
  2. Step 2: Convert to fraction form
    213.28/296.37 = 211.05/x
  3. Step 3: Cross multiply
    213.28x = 296.37 × 211.05
  4. Step 4: Simplify right side
    213.28x = 62,549.10
  5. Step 5: Solve for x
    x = 62,549.10/213.28
  6. Step 6: Final answer
    x = 293.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.