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Finding the Fourth Proportional to 462.69, 638.41 and 276.15

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Solution

The fourth proportional to 462.69, 638.41 and 276.15 is: 381.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.69 : 638.41 = 276.15 : x
  2. Step 2: Convert to fraction form
    462.69/638.41 = 276.15/x
  3. Step 3: Cross multiply
    462.69x = 638.41 × 276.15
  4. Step 4: Simplify right side
    462.69x = 176,293.88
  5. Step 5: Solve for x
    x = 176,293.88/462.69
  6. Step 6: Final answer
    x = 381.02

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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.