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Finding the Fourth Proportional to 392.62, 541.24 and 309.57

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Solution

The fourth proportional to 392.62, 541.24 and 309.57 is: 426.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.62 : 541.24 = 309.57 : x
  2. Step 2: Convert to fraction form
    392.62/541.24 = 309.57/x
  3. Step 3: Cross multiply
    392.62x = 541.24 × 309.57
  4. Step 4: Simplify right side
    392.62x = 167,551.67
  5. Step 5: Solve for x
    x = 167,551.67/392.62
  6. Step 6: Final answer
    x = 426.75

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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.