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Finding the Fourth Proportional to 338.15, 464.69 and 322.89

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Solution

The fourth proportional to 338.15, 464.69 and 322.89 is: 443.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.15 : 464.69 = 322.89 : x
  2. Step 2: Convert to fraction form
    338.15/464.69 = 322.89/x
  3. Step 3: Cross multiply
    338.15x = 464.69 × 322.89
  4. Step 4: Simplify right side
    338.15x = 150,042.14
  5. Step 5: Solve for x
    x = 150,042.14/338.15
  6. Step 6: Final answer
    x = 443.72

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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.