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Finding the Fourth Proportional to 367.64, 549.87 and 213.20

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Solution

The fourth proportional to 367.64, 549.87 and 213.20 is: 318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.64 : 549.87 = 213.20 : x
  2. Step 2: Convert to fraction form
    367.64/549.87 = 213.20/x
  3. Step 3: Cross multiply
    367.64x = 549.87 × 213.20
  4. Step 4: Simplify right side
    367.64x = 117,232.28
  5. Step 5: Solve for x
    x = 117,232.28/367.64
  6. Step 6: Final answer
    x = 318.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.