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Finding the Fourth Proportional to 367.66, 551.49 and 124.21

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Solution

The fourth proportional to 367.66, 551.49 and 124.21 is: 186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.66 : 551.49 = 124.21 : x
  2. Step 2: Convert to fraction form
    367.66/551.49 = 124.21/x
  3. Step 3: Cross multiply
    367.66x = 551.49 × 124.21
  4. Step 4: Simplify right side
    367.66x = 68,500.57
  5. Step 5: Solve for x
    x = 68,500.57/367.66
  6. Step 6: Final answer
    x = 186.32

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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.