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Finding the Fourth Proportional to 494.05, 681.64 and 319.49

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Solution

The fourth proportional to 494.05, 681.64 and 319.49 is: 440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.05 : 681.64 = 319.49 : x
  2. Step 2: Convert to fraction form
    494.05/681.64 = 319.49/x
  3. Step 3: Cross multiply
    494.05x = 681.64 × 319.49
  4. Step 4: Simplify right side
    494.05x = 217,777.16
  5. Step 5: Solve for x
    x = 217,777.16/494.05
  6. Step 6: Final answer
    x = 440.80

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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.