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Finding the Fourth Proportional to 375.50, 516.45 and 301.70

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Solution

The fourth proportional to 375.50, 516.45 and 301.70 is: 414.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.50 : 516.45 = 301.70 : x
  2. Step 2: Convert to fraction form
    375.50/516.45 = 301.70/x
  3. Step 3: Cross multiply
    375.50x = 516.45 × 301.70
  4. Step 4: Simplify right side
    375.50x = 155,812.97
  5. Step 5: Solve for x
    x = 155,812.97/375.50
  6. Step 6: Final answer
    x = 414.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.