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Finding the Fourth Proportional to 266.32, 368.06 and 200.80

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Solution

The fourth proportional to 266.32, 368.06 and 200.80 is: 277.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.32 : 368.06 = 200.80 : x
  2. Step 2: Convert to fraction form
    266.32/368.06 = 200.80/x
  3. Step 3: Cross multiply
    266.32x = 368.06 × 200.80
  4. Step 4: Simplify right side
    266.32x = 73,906.45
  5. Step 5: Solve for x
    x = 73,906.45/266.32
  6. Step 6: Final answer
    x = 277.51

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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.