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Finding the Fourth Proportional to 216.45, 322.85 and 201.33

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Solution

The fourth proportional to 216.45, 322.85 and 201.33 is: 300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.45 : 322.85 = 201.33 : x
  2. Step 2: Convert to fraction form
    216.45/322.85 = 201.33/x
  3. Step 3: Cross multiply
    216.45x = 322.85 × 201.33
  4. Step 4: Simplify right side
    216.45x = 64,999.89
  5. Step 5: Solve for x
    x = 64,999.89/216.45
  6. Step 6: Final answer
    x = 300.30

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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.