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Finding the Fourth Proportional to 392.45, 541.50 and 224.39

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Solution

The fourth proportional to 392.45, 541.50 and 224.39 is: 309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.45 : 541.50 = 224.39 : x
  2. Step 2: Convert to fraction form
    392.45/541.50 = 224.39/x
  3. Step 3: Cross multiply
    392.45x = 541.50 × 224.39
  4. Step 4: Simplify right side
    392.45x = 121,508.96
  5. Step 5: Solve for x
    x = 121,508.96/392.45
  6. Step 6: Final answer
    x = 309.62

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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.