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Finding the Fourth Proportional to 379.50, 566.67 and 350.34

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Solution

The fourth proportional to 379.50, 566.67 and 350.34 is: 523.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.50 : 566.67 = 350.34 : x
  2. Step 2: Convert to fraction form
    379.50/566.67 = 350.34/x
  3. Step 3: Cross multiply
    379.50x = 566.67 × 350.34
  4. Step 4: Simplify right side
    379.50x = 198,527.17
  5. Step 5: Solve for x
    x = 198,527.17/379.50
  6. Step 6: Final answer
    x = 523.13

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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.