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Finding the Fourth Proportional to 494, 681.76 and 284.24

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Solution

The fourth proportional to 494, 681.76 and 284.24 is: 392.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    494 : 681.76 = 284.24 : x
  2. Step 2: Convert to fraction form
    494/681.76 = 284.24/x
  3. Step 3: Cross multiply
    494x = 681.76 × 284.24
  4. Step 4: Simplify right side
    494x = 193,783.46
  5. Step 5: Solve for x
    x = 193,783.46/494
  6. Step 6: Final answer
    x = 392.27

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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.