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Finding the Fourth Proportional to 216.72, 322.61 and 213.48

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Solution

The fourth proportional to 216.72, 322.61 and 213.48 is: 317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.72 : 322.61 = 213.48 : x
  2. Step 2: Convert to fraction form
    216.72/322.61 = 213.48/x
  3. Step 3: Cross multiply
    216.72x = 322.61 × 213.48
  4. Step 4: Simplify right side
    216.72x = 68,869.72
  5. Step 5: Solve for x
    x = 68,869.72/216.72
  6. Step 6: Final answer
    x = 317.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.