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Finding the Fourth Proportional to 311.37, 464.43 and 265.20

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Solution

The fourth proportional to 311.37, 464.43 and 265.20 is: 395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.37 : 464.43 = 265.20 : x
  2. Step 2: Convert to fraction form
    311.37/464.43 = 265.20/x
  3. Step 3: Cross multiply
    311.37x = 464.43 × 265.20
  4. Step 4: Simplify right side
    311.37x = 123,165.51
  5. Step 5: Solve for x
    x = 123,165.51/311.37
  6. Step 6: Final answer
    x = 395.56

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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.