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Finding the Fourth Proportional to 310.28, 462.99 and 287.35

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Solution

The fourth proportional to 310.28, 462.99 and 287.35 is: 428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.28 : 462.99 = 287.35 : x
  2. Step 2: Convert to fraction form
    310.28/462.99 = 287.35/x
  3. Step 3: Cross multiply
    310.28x = 462.99 × 287.35
  4. Step 4: Simplify right side
    310.28x = 133,039.29
  5. Step 5: Solve for x
    x = 133,039.29/310.28
  6. Step 6: Final answer
    x = 428.77

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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.