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Finding the Fourth Proportional to 379.20, 565.68 and 346.56

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Solution

The fourth proportional to 379.20, 565.68 and 346.56 is: 516.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.20 : 565.68 = 346.56 : x
  2. Step 2: Convert to fraction form
    379.20/565.68 = 346.56/x
  3. Step 3: Cross multiply
    379.20x = 565.68 × 346.56
  4. Step 4: Simplify right side
    379.20x = 196,042.06
  5. Step 5: Solve for x
    x = 196,042.06/379.20
  6. Step 6: Final answer
    x = 516.99

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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.