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Finding the Fourth Proportional to 463.33, 638.96 and 339.09

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Solution

The fourth proportional to 463.33, 638.96 and 339.09 is: 467.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.33 : 638.96 = 339.09 : x
  2. Step 2: Convert to fraction form
    463.33/638.96 = 339.09/x
  3. Step 3: Cross multiply
    463.33x = 638.96 × 339.09
  4. Step 4: Simplify right side
    463.33x = 216,664.45
  5. Step 5: Solve for x
    x = 216,664.45/463.33
  6. Step 6: Final answer
    x = 467.63

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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.