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Finding the Fourth Proportional to 310.94, 462.43 and 304.78

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Solution

The fourth proportional to 310.94, 462.43 and 304.78 is: 453.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.94 : 462.43 = 304.78 : x
  2. Step 2: Convert to fraction form
    310.94/462.43 = 304.78/x
  3. Step 3: Cross multiply
    310.94x = 462.43 × 304.78
  4. Step 4: Simplify right side
    310.94x = 140,939.42
  5. Step 5: Solve for x
    x = 140,939.42/310.94
  6. Step 6: Final answer
    x = 453.27

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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.