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Finding the Fourth Proportional to 310.78, 463.64 and 301.96

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Solution

The fourth proportional to 310.78, 463.64 and 301.96 is: 450.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.78 : 463.64 = 301.96 : x
  2. Step 2: Convert to fraction form
    310.78/463.64 = 301.96/x
  3. Step 3: Cross multiply
    310.78x = 463.64 × 301.96
  4. Step 4: Simplify right side
    310.78x = 140,000.73
  5. Step 5: Solve for x
    x = 140,000.73/310.78
  6. Step 6: Final answer
    x = 450.48

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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.