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Finding the Fourth Proportional to 727, 1,090.68 and 240.10

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Solution

The fourth proportional to 727, 1,090.68 and 240.10 is: 360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    727 : 1,090.68 = 240.10 : x
  2. Step 2: Convert to fraction form
    727/1,090.68 = 240.10/x
  3. Step 3: Cross multiply
    727x = 1,090.68 × 240.10
  4. Step 4: Simplify right side
    727x = 261,872.27
  5. Step 5: Solve for x
    x = 261,872.27/727
  6. Step 6: Final answer
    x = 360.21

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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.