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Finding the Fourth Proportional to 681.81, 940.91 and 371.31

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Solution

The fourth proportional to 681.81, 940.91 and 371.31 is: 512.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.81 : 940.91 = 371.31 : x
  2. Step 2: Convert to fraction form
    681.81/940.91 = 371.31/x
  3. Step 3: Cross multiply
    681.81x = 940.91 × 371.31
  4. Step 4: Simplify right side
    681.81x = 349,369.29
  5. Step 5: Solve for x
    x = 349,369.29/681.81
  6. Step 6: Final answer
    x = 512.41

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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.