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Finding the Fourth Proportional to 463.90, 640.24 and 277.49

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Solution

The fourth proportional to 463.90, 640.24 and 277.49 is: 382.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.90 : 640.24 = 277.49 : x
  2. Step 2: Convert to fraction form
    463.90/640.24 = 277.49/x
  3. Step 3: Cross multiply
    463.90x = 640.24 × 277.49
  4. Step 4: Simplify right side
    463.90x = 177,661.10
  5. Step 5: Solve for x
    x = 177,661.10/463.90
  6. Step 6: Final answer
    x = 382.97

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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.