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Finding the Fourth Proportional to 394.52, 544.42 and 228.72

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Solution

The fourth proportional to 394.52, 544.42 and 228.72 is: 315.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.52 : 544.42 = 228.72 : x
  2. Step 2: Convert to fraction form
    394.52/544.42 = 228.72/x
  3. Step 3: Cross multiply
    394.52x = 544.42 × 228.72
  4. Step 4: Simplify right side
    394.52x = 124,519.74
  5. Step 5: Solve for x
    x = 124,519.74/394.52
  6. Step 6: Final answer
    x = 315.62

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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.