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Finding the Fourth Proportional to 394.31, 544.02 and 228.50

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Solution

The fourth proportional to 394.31, 544.02 and 228.50 is: 315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.31 : 544.02 = 228.50 : x
  2. Step 2: Convert to fraction form
    394.31/544.02 = 228.50/x
  3. Step 3: Cross multiply
    394.31x = 544.02 × 228.50
  4. Step 4: Simplify right side
    394.31x = 124,305.85
  5. Step 5: Solve for x
    x = 124,305.85/394.31
  6. Step 6: Final answer
    x = 315.25

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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.