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Finding the Fourth Proportional to 216.10, 322.64 and 213.82

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Solution

The fourth proportional to 216.10, 322.64 and 213.82 is: 319.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.10 : 322.64 = 213.82 : x
  2. Step 2: Convert to fraction form
    216.10/322.64 = 213.82/x
  3. Step 3: Cross multiply
    216.10x = 322.64 × 213.82
  4. Step 4: Simplify right side
    216.10x = 68,986.88
  5. Step 5: Solve for x
    x = 68,986.88/216.10
  6. Step 6: Final answer
    x = 319.24

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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.