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Finding the Fourth Proportional to 228.45, 344.28 and 217.47

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Solution

The fourth proportional to 228.45, 344.28 and 217.47 is: 327.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.45 : 344.28 = 217.47 : x
  2. Step 2: Convert to fraction form
    228.45/344.28 = 217.47/x
  3. Step 3: Cross multiply
    228.45x = 344.28 × 217.47
  4. Step 4: Simplify right side
    228.45x = 74,870.57
  5. Step 5: Solve for x
    x = 74,870.57/228.45
  6. Step 6: Final answer
    x = 327.73

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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.