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Finding the Fourth Proportional to 213.83, 322.67 and 206.20

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Solution

The fourth proportional to 213.83, 322.67 and 206.20 is: 311.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.83 : 322.67 = 206.20 : x
  2. Step 2: Convert to fraction form
    213.83/322.67 = 206.20/x
  3. Step 3: Cross multiply
    213.83x = 322.67 × 206.20
  4. Step 4: Simplify right side
    213.83x = 66,534.55
  5. Step 5: Solve for x
    x = 66,534.55/213.83
  6. Step 6: Final answer
    x = 311.16

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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.