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Finding the Fourth Proportional to 463.00, 638.59 and 339.16

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Solution

The fourth proportional to 463.00, 638.59 and 339.16 is: 467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.00 : 638.59 = 339.16 : x
  2. Step 2: Convert to fraction form
    463.00/638.59 = 339.16/x
  3. Step 3: Cross multiply
    463.00x = 638.59 × 339.16
  4. Step 4: Simplify right side
    463.00x = 216,579.30
  5. Step 5: Solve for x
    x = 216,579.30/463.00
  6. Step 6: Final answer
    x = 467.78

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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.