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Finding the Fourth Proportional to 213.99, 322.33 and 211.16

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Solution

The fourth proportional to 213.99, 322.33 and 211.16 is: 318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.99 : 322.33 = 211.16 : x
  2. Step 2: Convert to fraction form
    213.99/322.33 = 211.16/x
  3. Step 3: Cross multiply
    213.99x = 322.33 × 211.16
  4. Step 4: Simplify right side
    213.99x = 68,061.06
  5. Step 5: Solve for x
    x = 68,061.06/213.99
  6. Step 6: Final answer
    x = 318.06

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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.