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Finding the Fourth Proportional to 351.64, 523.67 and 343.18

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Solution

The fourth proportional to 351.64, 523.67 and 343.18 is: 511.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.64 : 523.67 = 343.18 : x
  2. Step 2: Convert to fraction form
    351.64/523.67 = 343.18/x
  3. Step 3: Cross multiply
    351.64x = 523.67 × 343.18
  4. Step 4: Simplify right side
    351.64x = 179,713.07
  5. Step 5: Solve for x
    x = 179,713.07/351.64
  6. Step 6: Final answer
    x = 511.07

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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.