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Finding the Fourth Proportional to 266.08, 366.63 and 200.44

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Solution

The fourth proportional to 266.08, 366.63 and 200.44 is: 276.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.08 : 366.63 = 200.44 : x
  2. Step 2: Convert to fraction form
    266.08/366.63 = 200.44/x
  3. Step 3: Cross multiply
    266.08x = 366.63 × 200.44
  4. Step 4: Simplify right side
    266.08x = 73,487.32
  5. Step 5: Solve for x
    x = 73,487.32/266.08
  6. Step 6: Final answer
    x = 276.19

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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.