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Finding the Fourth Proportional to 343.37, 511.79 and 323.91

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Solution

The fourth proportional to 343.37, 511.79 and 323.91 is: 482.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.37 : 511.79 = 323.91 : x
  2. Step 2: Convert to fraction form
    343.37/511.79 = 323.91/x
  3. Step 3: Cross multiply
    343.37x = 511.79 × 323.91
  4. Step 4: Simplify right side
    343.37x = 165,773.90
  5. Step 5: Solve for x
    x = 165,773.90/343.37
  6. Step 6: Final answer
    x = 482.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.