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Finding the Fourth Proportional to 338.07, 466.68 and 255.20

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Solution

The fourth proportional to 338.07, 466.68 and 255.20 is: 352.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.07 : 466.68 = 255.20 : x
  2. Step 2: Convert to fraction form
    338.07/466.68 = 255.20/x
  3. Step 3: Cross multiply
    338.07x = 466.68 × 255.20
  4. Step 4: Simplify right side
    338.07x = 119,096.55
  5. Step 5: Solve for x
    x = 119,096.55/338.07
  6. Step 6: Final answer
    x = 352.28

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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.