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Finding the Fourth Proportional to 216.24, 322.08 and 213.39

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Solution

The fourth proportional to 216.24, 322.08 and 213.39 is: 317.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.24 : 322.08 = 213.39 : x
  2. Step 2: Convert to fraction form
    216.24/322.08 = 213.39/x
  3. Step 3: Cross multiply
    216.24x = 322.08 × 213.39
  4. Step 4: Simplify right side
    216.24x = 68,728.65
  5. Step 5: Solve for x
    x = 68,728.65/216.24
  6. Step 6: Final answer
    x = 317.84

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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.