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Finding the Fourth Proportional to 228.15, 344.07 and 217.35

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Solution

The fourth proportional to 228.15, 344.07 and 217.35 is: 327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.15 : 344.07 = 217.35 : x
  2. Step 2: Convert to fraction form
    228.15/344.07 = 217.35/x
  3. Step 3: Cross multiply
    228.15x = 344.07 × 217.35
  4. Step 4: Simplify right side
    228.15x = 74,783.61
  5. Step 5: Solve for x
    x = 74,783.61/228.15
  6. Step 6: Final answer
    x = 327.78

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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.