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Finding the Fourth Proportional to 266.86, 400.33 and 136.93

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Solution

The fourth proportional to 266.86, 400.33 and 136.93 is: 205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.86 : 400.33 = 136.93 : x
  2. Step 2: Convert to fraction form
    266.86/400.33 = 136.93/x
  3. Step 3: Cross multiply
    266.86x = 400.33 × 136.93
  4. Step 4: Simplify right side
    266.86x = 54,816.50
  5. Step 5: Solve for x
    x = 54,816.50/266.86
  6. Step 6: Final answer
    x = 205.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.