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Finding the Fourth Proportional to 362.75, 544.32 and 343.98

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Solution

The fourth proportional to 362.75, 544.32 and 343.98 is: 516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.75 : 544.32 = 343.98 : x
  2. Step 2: Convert to fraction form
    362.75/544.32 = 343.98/x
  3. Step 3: Cross multiply
    362.75x = 544.32 × 343.98
  4. Step 4: Simplify right side
    362.75x = 187,235.19
  5. Step 5: Solve for x
    x = 187,235.19/362.75
  6. Step 6: Final answer
    x = 516.16

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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.