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Finding the Fourth Proportional to 463.26, 638.62 and 352.55

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Solution

The fourth proportional to 463.26, 638.62 and 352.55 is: 486.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.26 : 638.62 = 352.55 : x
  2. Step 2: Convert to fraction form
    463.26/638.62 = 352.55/x
  3. Step 3: Cross multiply
    463.26x = 638.62 × 352.55
  4. Step 4: Simplify right side
    463.26x = 225,145.48
  5. Step 5: Solve for x
    x = 225,145.48/463.26
  6. Step 6: Final answer
    x = 486.00

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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.