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Finding the Fourth Proportional to 376.94, 516.28 and 354.80

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Solution

The fourth proportional to 376.94, 516.28 and 354.80 is: 485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.94 : 516.28 = 354.80 : x
  2. Step 2: Convert to fraction form
    376.94/516.28 = 354.80/x
  3. Step 3: Cross multiply
    376.94x = 516.28 × 354.80
  4. Step 4: Simplify right side
    376.94x = 183,176.14
  5. Step 5: Solve for x
    x = 183,176.14/376.94
  6. Step 6: Final answer
    x = 485.96

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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.