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Finding the Fourth Proportional to 431.24, 643.73 and 369.27

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Solution

The fourth proportional to 431.24, 643.73 and 369.27 is: 551.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.24 : 643.73 = 369.27 : x
  2. Step 2: Convert to fraction form
    431.24/643.73 = 369.27/x
  3. Step 3: Cross multiply
    431.24x = 643.73 × 369.27
  4. Step 4: Simplify right side
    431.24x = 237,708.33
  5. Step 5: Solve for x
    x = 237,708.33/431.24
  6. Step 6: Final answer
    x = 551.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.