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Finding the Fourth Proportional to 399.51, 551.36 and 224.87

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Solution

The fourth proportional to 399.51, 551.36 and 224.87 is: 310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.51 : 551.36 = 224.87 : x
  2. Step 2: Convert to fraction form
    399.51/551.36 = 224.87/x
  3. Step 3: Cross multiply
    399.51x = 551.36 × 224.87
  4. Step 4: Simplify right side
    399.51x = 123,982.13
  5. Step 5: Solve for x
    x = 123,982.13/399.51
  6. Step 6: Final answer
    x = 310.34

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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.