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Finding the Fourth Proportional to 216.83, 323.35 and 202.25

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Solution

The fourth proportional to 216.83, 323.35 and 202.25 is: 301.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.83 : 323.35 = 202.25 : x
  2. Step 2: Convert to fraction form
    216.83/323.35 = 202.25/x
  3. Step 3: Cross multiply
    216.83x = 323.35 × 202.25
  4. Step 4: Simplify right side
    216.83x = 65,397.54
  5. Step 5: Solve for x
    x = 65,397.54/216.83
  6. Step 6: Final answer
    x = 301.61

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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.