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Finding the Fourth Proportional to 379.28, 565.84 and 343.91

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Solution

The fourth proportional to 379.28, 565.84 and 343.91 is: 513.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.28 : 565.84 = 343.91 : x
  2. Step 2: Convert to fraction form
    379.28/565.84 = 343.91/x
  3. Step 3: Cross multiply
    379.28x = 565.84 × 343.91
  4. Step 4: Simplify right side
    379.28x = 194,598.03
  5. Step 5: Solve for x
    x = 194,598.03/379.28
  6. Step 6: Final answer
    x = 513.07

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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.