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Finding the Fourth Proportional to 360.57, 539.64 and 223.14

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Solution

The fourth proportional to 360.57, 539.64 and 223.14 is: 333.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.57 : 539.64 = 223.14 : x
  2. Step 2: Convert to fraction form
    360.57/539.64 = 223.14/x
  3. Step 3: Cross multiply
    360.57x = 539.64 × 223.14
  4. Step 4: Simplify right side
    360.57x = 120,415.27
  5. Step 5: Solve for x
    x = 120,415.27/360.57
  6. Step 6: Final answer
    x = 333.96

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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.