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Finding the Fourth Proportional to 379.24, 522.20 and 344.05

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Solution

The fourth proportional to 379.24, 522.20 and 344.05 is: 473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.24 : 522.20 = 344.05 : x
  2. Step 2: Convert to fraction form
    379.24/522.20 = 344.05/x
  3. Step 3: Cross multiply
    379.24x = 522.20 × 344.05
  4. Step 4: Simplify right side
    379.24x = 179,666.01
  5. Step 5: Solve for x
    x = 179,666.01/379.24
  6. Step 6: Final answer
    x = 473.76

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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.