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Finding the Fourth Proportional to 367.35, 549.81 and 223.17

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Solution

The fourth proportional to 367.35, 549.81 and 223.17 is: 334.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.35 : 549.81 = 223.17 : x
  2. Step 2: Convert to fraction form
    367.35/549.81 = 223.17/x
  3. Step 3: Cross multiply
    367.35x = 549.81 × 223.17
  4. Step 4: Simplify right side
    367.35x = 122,701.10
  5. Step 5: Solve for x
    x = 122,701.10/367.35
  6. Step 6: Final answer
    x = 334.02

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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.