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Finding the Fourth Proportional to 216.08, 322.34 and 201.36

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Solution

The fourth proportional to 216.08, 322.34 and 201.36 is: 300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.08 : 322.34 = 201.36 : x
  2. Step 2: Convert to fraction form
    216.08/322.34 = 201.36/x
  3. Step 3: Cross multiply
    216.08x = 322.34 × 201.36
  4. Step 4: Simplify right side
    216.08x = 64,906.38
  5. Step 5: Solve for x
    x = 64,906.38/216.08
  6. Step 6: Final answer
    x = 300.38

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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.