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Finding the Fourth Proportional to 310.31, 462.84 and 264.14

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Solution

The fourth proportional to 310.31, 462.84 and 264.14 is: 393.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.31 : 462.84 = 264.14 : x
  2. Step 2: Convert to fraction form
    310.31/462.84 = 264.14/x
  3. Step 3: Cross multiply
    310.31x = 462.84 × 264.14
  4. Step 4: Simplify right side
    310.31x = 122,252.43
  5. Step 5: Solve for x
    x = 122,252.43/310.31
  6. Step 6: Final answer
    x = 393.97

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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.