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Finding the Fourth Proportional to 344.26, 518.14 and 310.72

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Solution

The fourth proportional to 344.26, 518.14 and 310.72 is: 467.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.26 : 518.14 = 310.72 : x
  2. Step 2: Convert to fraction form
    344.26/518.14 = 310.72/x
  3. Step 3: Cross multiply
    344.26x = 518.14 × 310.72
  4. Step 4: Simplify right side
    344.26x = 160,996.46
  5. Step 5: Solve for x
    x = 160,996.46/344.26
  6. Step 6: Final answer
    x = 467.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.