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Finding the Fourth Proportional to 394.30, 544.20 and 228.61

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Solution

The fourth proportional to 394.30, 544.20 and 228.61 is: 315.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.30 : 544.20 = 228.61 : x
  2. Step 2: Convert to fraction form
    394.30/544.20 = 228.61/x
  3. Step 3: Cross multiply
    394.30x = 544.20 × 228.61
  4. Step 4: Simplify right side
    394.30x = 124,409.56
  5. Step 5: Solve for x
    x = 124,409.56/394.30
  6. Step 6: Final answer
    x = 315.52

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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.