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Finding the Fourth Proportional to 270.95, 408.19 and 228.57

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Solution

The fourth proportional to 270.95, 408.19 and 228.57 is: 344.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.95 : 408.19 = 228.57 : x
  2. Step 2: Convert to fraction form
    270.95/408.19 = 228.57/x
  3. Step 3: Cross multiply
    270.95x = 408.19 × 228.57
  4. Step 4: Simplify right side
    270.95x = 93,300.61
  5. Step 5: Solve for x
    x = 93,300.61/270.95
  6. Step 6: Final answer
    x = 344.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.