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Finding the Fourth Proportional to 399.40, 551.16 and 224.74

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Solution

The fourth proportional to 399.40, 551.16 and 224.74 is: 310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.40 : 551.16 = 224.74 : x
  2. Step 2: Convert to fraction form
    399.40/551.16 = 224.74/x
  3. Step 3: Cross multiply
    399.40x = 551.16 × 224.74
  4. Step 4: Simplify right side
    399.40x = 123,867.70
  5. Step 5: Solve for x
    x = 123,867.70/399.40
  6. Step 6: Final answer
    x = 310.13

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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.