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Finding the Fourth Proportional to 726.66, 1,090.07 and 239.71

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Solution

The fourth proportional to 726.66, 1,090.07 and 239.71 is: 359.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.66 : 1,090.07 = 239.71 : x
  2. Step 2: Convert to fraction form
    726.66/1,090.07 = 239.71/x
  3. Step 3: Cross multiply
    726.66x = 1,090.07 × 239.71
  4. Step 4: Simplify right side
    726.66x = 261,300.68
  5. Step 5: Solve for x
    x = 261,300.68/726.66
  6. Step 6: Final answer
    x = 359.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.