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Finding the Fourth Proportional to 494.40, 681.92 and 287.44

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Solution

The fourth proportional to 494.40, 681.92 and 287.44 is: 396.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.40 : 681.92 = 287.44 : x
  2. Step 2: Convert to fraction form
    494.40/681.92 = 287.44/x
  3. Step 3: Cross multiply
    494.40x = 681.92 × 287.44
  4. Step 4: Simplify right side
    494.40x = 196,011.08
  5. Step 5: Solve for x
    x = 196,011.08/494.40
  6. Step 6: Final answer
    x = 396.46

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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.