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Finding the Fourth Proportional to 217.01, 322.99 and 216.34

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Solution

The fourth proportional to 217.01, 322.99 and 216.34 is: 321.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.01 : 322.99 = 216.34 : x
  2. Step 2: Convert to fraction form
    217.01/322.99 = 216.34/x
  3. Step 3: Cross multiply
    217.01x = 322.99 × 216.34
  4. Step 4: Simplify right side
    217.01x = 69,874.31
  5. Step 5: Solve for x
    x = 69,874.31/217.01
  6. Step 6: Final answer
    x = 321.98

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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.