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Finding the Fourth Proportional to 366.27, 548.33 and 228.90

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Solution

The fourth proportional to 366.27, 548.33 and 228.90 is: 342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.27 : 548.33 = 228.90 : x
  2. Step 2: Convert to fraction form
    366.27/548.33 = 228.90/x
  3. Step 3: Cross multiply
    366.27x = 548.33 × 228.90
  4. Step 4: Simplify right side
    366.27x = 125,512.45
  5. Step 5: Solve for x
    x = 125,512.45/366.27
  6. Step 6: Final answer
    x = 342.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.