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Finding the Fourth Proportional to 367.21, 549.36 and 284.29

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Solution

The fourth proportional to 367.21, 549.36 and 284.29 is: 425.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.21 : 549.36 = 284.29 : x
  2. Step 2: Convert to fraction form
    367.21/549.36 = 284.29/x
  3. Step 3: Cross multiply
    367.21x = 549.36 × 284.29
  4. Step 4: Simplify right side
    367.21x = 156,177.55
  5. Step 5: Solve for x
    x = 156,177.55/367.21
  6. Step 6: Final answer
    x = 425.31

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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.