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Finding the Fourth Proportional to 379.20, 522.84 and 262.80

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Solution

The fourth proportional to 379.20, 522.84 and 262.80 is: 362.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.20 : 522.84 = 262.80 : x
  2. Step 2: Convert to fraction form
    379.20/522.84 = 262.80/x
  3. Step 3: Cross multiply
    379.20x = 522.84 × 262.80
  4. Step 4: Simplify right side
    379.20x = 137,402.35
  5. Step 5: Solve for x
    x = 137,402.35/379.20
  6. Step 6: Final answer
    x = 362.35

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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.