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Finding the Fourth Proportional to 431.27, 643.97 and 338.93

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Solution

The fourth proportional to 431.27, 643.97 and 338.93 is: 506.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.27 : 643.97 = 338.93 : x
  2. Step 2: Convert to fraction form
    431.27/643.97 = 338.93/x
  3. Step 3: Cross multiply
    431.27x = 643.97 × 338.93
  4. Step 4: Simplify right side
    431.27x = 218,258.38
  5. Step 5: Solve for x
    x = 218,258.38/431.27
  6. Step 6: Final answer
    x = 506.09

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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.