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Finding the Fourth Proportional to 344.98, 515.95 and 308.71

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Solution

The fourth proportional to 344.98, 515.95 and 308.71 is: 461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.98 : 515.95 = 308.71 : x
  2. Step 2: Convert to fraction form
    344.98/515.95 = 308.71/x
  3. Step 3: Cross multiply
    344.98x = 515.95 × 308.71
  4. Step 4: Simplify right side
    344.98x = 159,278.92
  5. Step 5: Solve for x
    x = 159,278.92/344.98
  6. Step 6: Final answer
    x = 461.70

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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.