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Finding the Fourth Proportional to 343.27, 513.78 and 310.45

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Solution

The fourth proportional to 343.27, 513.78 and 310.45 is: 464.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.27 : 513.78 = 310.45 : x
  2. Step 2: Convert to fraction form
    343.27/513.78 = 310.45/x
  3. Step 3: Cross multiply
    343.27x = 513.78 × 310.45
  4. Step 4: Simplify right side
    343.27x = 159,503.00
  5. Step 5: Solve for x
    x = 159,503.00/343.27
  6. Step 6: Final answer
    x = 464.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.