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Finding the Fourth Proportional to 220.24, 303.24 and 199.72

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Solution

The fourth proportional to 220.24, 303.24 and 199.72 is: 274.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.24 : 303.24 = 199.72 : x
  2. Step 2: Convert to fraction form
    220.24/303.24 = 199.72/x
  3. Step 3: Cross multiply
    220.24x = 303.24 × 199.72
  4. Step 4: Simplify right side
    220.24x = 60,563.09
  5. Step 5: Solve for x
    x = 60,563.09/220.24
  6. Step 6: Final answer
    x = 274.99

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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.