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Finding the Fourth Proportional to 215.24, 321.26 and 200.18

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Solution

The fourth proportional to 215.24, 321.26 and 200.18 is: 298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.24 : 321.26 = 200.18 : x
  2. Step 2: Convert to fraction form
    215.24/321.26 = 200.18/x
  3. Step 3: Cross multiply
    215.24x = 321.26 × 200.18
  4. Step 4: Simplify right side
    215.24x = 64,309.83
  5. Step 5: Solve for x
    x = 64,309.83/215.24
  6. Step 6: Final answer
    x = 298.78

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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.