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Finding the Fourth Proportional to 266.29, 366.94 and 204.12

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Solution

The fourth proportional to 266.29, 366.94 and 204.12 is: 281.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.29 : 366.94 = 204.12 : x
  2. Step 2: Convert to fraction form
    266.29/366.94 = 204.12/x
  3. Step 3: Cross multiply
    266.29x = 366.94 × 204.12
  4. Step 4: Simplify right side
    266.29x = 74,899.79
  5. Step 5: Solve for x
    x = 74,899.79/266.29
  6. Step 6: Final answer
    x = 281.27

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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.