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Finding the Fourth Proportional to 367.12, 549.84 and 222.64

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Solution

The fourth proportional to 367.12, 549.84 and 222.64 is: 333.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.12 : 549.84 = 222.64 : x
  2. Step 2: Convert to fraction form
    367.12/549.84 = 222.64/x
  3. Step 3: Cross multiply
    367.12x = 549.84 × 222.64
  4. Step 4: Simplify right side
    367.12x = 122,416.38
  5. Step 5: Solve for x
    x = 122,416.38/367.12
  6. Step 6: Final answer
    x = 333.45

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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.