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Finding the Fourth Proportional to 266.84, 400.21 and 122.52

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Solution

The fourth proportional to 266.84, 400.21 and 122.52 is: 183.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.84 : 400.21 = 122.52 : x
  2. Step 2: Convert to fraction form
    266.84/400.21 = 122.52/x
  3. Step 3: Cross multiply
    266.84x = 400.21 × 122.52
  4. Step 4: Simplify right side
    266.84x = 49,033.12
  5. Step 5: Solve for x
    x = 49,033.12/266.84
  6. Step 6: Final answer
    x = 183.76

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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.