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Finding the Fourth Proportional to 494.07, 681.77 and 284.21

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Solution

The fourth proportional to 494.07, 681.77 and 284.21 is: 392.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.07 : 681.77 = 284.21 : x
  2. Step 2: Convert to fraction form
    494.07/681.77 = 284.21/x
  3. Step 3: Cross multiply
    494.07x = 681.77 × 284.21
  4. Step 4: Simplify right side
    494.07x = 193,761.02
  5. Step 5: Solve for x
    x = 193,761.02/494.07
  6. Step 6: Final answer
    x = 392.17

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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.