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Finding the Fourth Proportional to 376.75, 516.15 and 362.17

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Solution

The fourth proportional to 376.75, 516.15 and 362.17 is: 496.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.75 : 516.15 = 362.17 : x
  2. Step 2: Convert to fraction form
    376.75/516.15 = 362.17/x
  3. Step 3: Cross multiply
    376.75x = 516.15 × 362.17
  4. Step 4: Simplify right side
    376.75x = 186,931.46
  5. Step 5: Solve for x
    x = 186,931.46/376.75
  6. Step 6: Final answer
    x = 496.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.