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Finding the Fourth Proportional to 463.54, 638.88 and 315.88

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Solution

The fourth proportional to 463.54, 638.88 and 315.88 is: 435.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.54 : 638.88 = 315.88 : x
  2. Step 2: Convert to fraction form
    463.54/638.88 = 315.88/x
  3. Step 3: Cross multiply
    463.54x = 638.88 × 315.88
  4. Step 4: Simplify right side
    463.54x = 201,809.41
  5. Step 5: Solve for x
    x = 201,809.41/463.54
  6. Step 6: Final answer
    x = 435.37

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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.