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Finding the Fourth Proportional to 311, 464.32 and 265.37

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Solution

The fourth proportional to 311, 464.32 and 265.37 is: 396.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311 : 464.32 = 265.37 : x
  2. Step 2: Convert to fraction form
    311/464.32 = 265.37/x
  3. Step 3: Cross multiply
    311x = 464.32 × 265.37
  4. Step 4: Simplify right side
    311x = 123,216.60
  5. Step 5: Solve for x
    x = 123,216.60/311
  6. Step 6: Final answer
    x = 396.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.