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Finding the Fourth Proportional to 338.78, 466.97 and 228.22

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Solution

The fourth proportional to 338.78, 466.97 and 228.22 is: 314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.78 : 466.97 = 228.22 : x
  2. Step 2: Convert to fraction form
    338.78/466.97 = 228.22/x
  3. Step 3: Cross multiply
    338.78x = 466.97 × 228.22
  4. Step 4: Simplify right side
    338.78x = 106,571.89
  5. Step 5: Solve for x
    x = 106,571.89/338.78
  6. Step 6: Final answer
    x = 314.58

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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.