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Finding the Fourth Proportional to 216.27, 297.22 and 202.60

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Solution

The fourth proportional to 216.27, 297.22 and 202.60 is: 278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.27 : 297.22 = 202.60 : x
  2. Step 2: Convert to fraction form
    216.27/297.22 = 202.60/x
  3. Step 3: Cross multiply
    216.27x = 297.22 × 202.60
  4. Step 4: Simplify right side
    216.27x = 60,214.27
  5. Step 5: Solve for x
    x = 60,214.27/216.27
  6. Step 6: Final answer
    x = 278.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.