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Finding the Fourth Proportional to 343.90, 512.87 and 313.12

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Solution

The fourth proportional to 343.90, 512.87 and 313.12 is: 466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.90 : 512.87 = 313.12 : x
  2. Step 2: Convert to fraction form
    343.90/512.87 = 313.12/x
  3. Step 3: Cross multiply
    343.90x = 512.87 × 313.12
  4. Step 4: Simplify right side
    343.90x = 160,589.85
  5. Step 5: Solve for x
    x = 160,589.85/343.90
  6. Step 6: Final answer
    x = 466.97

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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.