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Finding the Fourth Proportional to 266.86, 368.43 and 217.85

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Solution

The fourth proportional to 266.86, 368.43 and 217.85 is: 300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.86 : 368.43 = 217.85 : x
  2. Step 2: Convert to fraction form
    266.86/368.43 = 217.85/x
  3. Step 3: Cross multiply
    266.86x = 368.43 × 217.85
  4. Step 4: Simplify right side
    266.86x = 80,262.48
  5. Step 5: Solve for x
    x = 80,262.48/266.86
  6. Step 6: Final answer
    x = 300.77

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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.