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Finding the Fourth Proportional to 360.16, 496.98 and 220.21

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Solution

The fourth proportional to 360.16, 496.98 and 220.21 is: 303.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.16 : 496.98 = 220.21 : x
  2. Step 2: Convert to fraction form
    360.16/496.98 = 220.21/x
  3. Step 3: Cross multiply
    360.16x = 496.98 × 220.21
  4. Step 4: Simplify right side
    360.16x = 109,439.97
  5. Step 5: Solve for x
    x = 109,439.97/360.16
  6. Step 6: Final answer
    x = 303.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.