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Finding the Fourth Proportional to 463.25, 638.93 and 339.41

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Solution

The fourth proportional to 463.25, 638.93 and 339.41 is: 468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.25 : 638.93 = 339.41 : x
  2. Step 2: Convert to fraction form
    463.25/638.93 = 339.41/x
  3. Step 3: Cross multiply
    463.25x = 638.93 × 339.41
  4. Step 4: Simplify right side
    463.25x = 216,856.89
  5. Step 5: Solve for x
    x = 216,856.89/463.25
  6. Step 6: Final answer
    x = 468.13

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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.