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Finding the Fourth Proportional to 399.63, 551.37 and 231.57

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Solution

The fourth proportional to 399.63, 551.37 and 231.57 is: 319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.63 : 551.37 = 231.57 : x
  2. Step 2: Convert to fraction form
    399.63/551.37 = 231.57/x
  3. Step 3: Cross multiply
    399.63x = 551.37 × 231.57
  4. Step 4: Simplify right side
    399.63x = 127,678.25
  5. Step 5: Solve for x
    x = 127,678.25/399.63
  6. Step 6: Final answer
    x = 319.49

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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.