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Finding the Fourth Proportional to 338.52, 464.13 and 334.37

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Solution

The fourth proportional to 338.52, 464.13 and 334.37 is: 458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.52 : 464.13 = 334.37 : x
  2. Step 2: Convert to fraction form
    338.52/464.13 = 334.37/x
  3. Step 3: Cross multiply
    338.52x = 464.13 × 334.37
  4. Step 4: Simplify right side
    338.52x = 155,187.16
  5. Step 5: Solve for x
    x = 155,187.16/338.52
  6. Step 6: Final answer
    x = 458.43

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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.