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Finding the Fourth Proportional to 338.10, 466.26 and 219.95

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Solution

The fourth proportional to 338.10, 466.26 and 219.95 is: 303.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.10 : 466.26 = 219.95 : x
  2. Step 2: Convert to fraction form
    338.10/466.26 = 219.95/x
  3. Step 3: Cross multiply
    338.10x = 466.26 × 219.95
  4. Step 4: Simplify right side
    338.10x = 102,550.46
  5. Step 5: Solve for x
    x = 102,550.46/338.10
  6. Step 6: Final answer
    x = 303.32

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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.