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Finding the Fourth Proportional to 367.39, 549.49 and 212.94

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Solution

The fourth proportional to 367.39, 549.49 and 212.94 is: 318.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.39 : 549.49 = 212.94 : x
  2. Step 2: Convert to fraction form
    367.39/549.49 = 212.94/x
  3. Step 3: Cross multiply
    367.39x = 549.49 × 212.94
  4. Step 4: Simplify right side
    367.39x = 117,008.40
  5. Step 5: Solve for x
    x = 117,008.40/367.39
  6. Step 6: Final answer
    x = 318.49

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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.