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Finding the Fourth Proportional to 343.46, 517.05 and 313.70

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Solution

The fourth proportional to 343.46, 517.05 and 313.70 is: 472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.46 : 517.05 = 313.70 : x
  2. Step 2: Convert to fraction form
    343.46/517.05 = 313.70/x
  3. Step 3: Cross multiply
    343.46x = 517.05 × 313.70
  4. Step 4: Simplify right side
    343.46x = 162,198.59
  5. Step 5: Solve for x
    x = 162,198.59/343.46
  6. Step 6: Final answer
    x = 472.25

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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.