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Finding the Fourth Proportional to 726.88, 1,090.50 and 213.88

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Solution

The fourth proportional to 726.88, 1,090.50 and 213.88 is: 320.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.88 : 1,090.50 = 213.88 : x
  2. Step 2: Convert to fraction form
    726.88/1,090.50 = 213.88/x
  3. Step 3: Cross multiply
    726.88x = 1,090.50 × 213.88
  4. Step 4: Simplify right side
    726.88x = 233,236.14
  5. Step 5: Solve for x
    x = 233,236.14/726.88
  6. Step 6: Final answer
    x = 320.87

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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.