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Finding the Fourth Proportional to 494.36, 681.99 and 319.76

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Solution

The fourth proportional to 494.36, 681.99 and 319.76 is: 441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.36 : 681.99 = 319.76 : x
  2. Step 2: Convert to fraction form
    494.36/681.99 = 319.76/x
  3. Step 3: Cross multiply
    494.36x = 681.99 × 319.76
  4. Step 4: Simplify right side
    494.36x = 218,073.12
  5. Step 5: Solve for x
    x = 218,073.12/494.36
  6. Step 6: Final answer
    x = 441.12

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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.