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Finding the Fourth Proportional to 216.27, 322.38 and 209.79

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Solution

The fourth proportional to 216.27, 322.38 and 209.79 is: 312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.27 : 322.38 = 209.79 : x
  2. Step 2: Convert to fraction form
    216.27/322.38 = 209.79/x
  3. Step 3: Cross multiply
    216.27x = 322.38 × 209.79
  4. Step 4: Simplify right side
    216.27x = 67,632.10
  5. Step 5: Solve for x
    x = 67,632.10/216.27
  6. Step 6: Final answer
    x = 312.72

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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.