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Finding the Fourth Proportional to 394.56, 544.61 and 228.88

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Solution

The fourth proportional to 394.56, 544.61 and 228.88 is: 315.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.56 : 544.61 = 228.88 : x
  2. Step 2: Convert to fraction form
    394.56/544.61 = 228.88/x
  3. Step 3: Cross multiply
    394.56x = 544.61 × 228.88
  4. Step 4: Simplify right side
    394.56x = 124,650.34
  5. Step 5: Solve for x
    x = 124,650.34/394.56
  6. Step 6: Final answer
    x = 315.92

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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.