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Finding the Fourth Proportional to 310.29, 463.49 and 232.83

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Solution

The fourth proportional to 310.29, 463.49 and 232.83 is: 347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.29 : 463.49 = 232.83 : x
  2. Step 2: Convert to fraction form
    310.29/463.49 = 232.83/x
  3. Step 3: Cross multiply
    310.29x = 463.49 × 232.83
  4. Step 4: Simplify right side
    310.29x = 107,913.21
  5. Step 5: Solve for x
    x = 107,913.21/310.29
  6. Step 6: Final answer
    x = 347.78

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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.