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Finding the Fourth Proportional to 393.07, 540.17 and 382.14

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Solution

The fourth proportional to 393.07, 540.17 and 382.14 is: 525.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.07 : 540.17 = 382.14 : x
  2. Step 2: Convert to fraction form
    393.07/540.17 = 382.14/x
  3. Step 3: Cross multiply
    393.07x = 540.17 × 382.14
  4. Step 4: Simplify right side
    393.07x = 206,420.56
  5. Step 5: Solve for x
    x = 206,420.56/393.07
  6. Step 6: Final answer
    x = 525.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.