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Finding the Fourth Proportional to 392.17, 540.56 and 309.14

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Solution

The fourth proportional to 392.17, 540.56 and 309.14 is: 426.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.17 : 540.56 = 309.14 : x
  2. Step 2: Convert to fraction form
    392.17/540.56 = 309.14/x
  3. Step 3: Cross multiply
    392.17x = 540.56 × 309.14
  4. Step 4: Simplify right side
    392.17x = 167,107.17
  5. Step 5: Solve for x
    x = 167,107.17/392.17
  6. Step 6: Final answer
    x = 426.11

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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.