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Finding the Fourth Proportional to 218.28, 325.59 and 199.64

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Solution

The fourth proportional to 218.28, 325.59 and 199.64 is: 297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.28 : 325.59 = 199.64 : x
  2. Step 2: Convert to fraction form
    218.28/325.59 = 199.64/x
  3. Step 3: Cross multiply
    218.28x = 325.59 × 199.64
  4. Step 4: Simplify right side
    218.28x = 65,000.79
  5. Step 5: Solve for x
    x = 65,000.79/218.28
  6. Step 6: Final answer
    x = 297.79

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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.