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Finding the Fourth Proportional to 338.20, 464.40 and 272.20

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Solution

The fourth proportional to 338.20, 464.40 and 272.20 is: 373.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.20 : 464.40 = 272.20 : x
  2. Step 2: Convert to fraction form
    338.20/464.40 = 272.20/x
  3. Step 3: Cross multiply
    338.20x = 464.40 × 272.20
  4. Step 4: Simplify right side
    338.20x = 126,409.68
  5. Step 5: Solve for x
    x = 126,409.68/338.20
  6. Step 6: Final answer
    x = 373.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.