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Finding the Fourth Proportional to 379.20, 522 and 342.24

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Solution

The fourth proportional to 379.20, 522 and 342.24 is: 471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.20 : 522 = 342.24 : x
  2. Step 2: Convert to fraction form
    379.20/522 = 342.24/x
  3. Step 3: Cross multiply
    379.20x = 522 × 342.24
  4. Step 4: Simplify right side
    379.20x = 178,649.28
  5. Step 5: Solve for x
    x = 178,649.28/379.20
  6. Step 6: Final answer
    x = 471.12

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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.