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Finding the Fourth Proportional to 215.70, 321.98 and 199.64

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Solution

The fourth proportional to 215.70, 321.98 and 199.64 is: 298.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.70 : 321.98 = 199.64 : x
  2. Step 2: Convert to fraction form
    215.70/321.98 = 199.64/x
  3. Step 3: Cross multiply
    215.70x = 321.98 × 199.64
  4. Step 4: Simplify right side
    215.70x = 64,279.21
  5. Step 5: Solve for x
    x = 64,279.21/215.70
  6. Step 6: Final answer
    x = 298.01

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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.