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Finding the Fourth Proportional to 379.78, 522.96 and 357.86

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Solution

The fourth proportional to 379.78, 522.96 and 357.86 is: 492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.78 : 522.96 = 357.86 : x
  2. Step 2: Convert to fraction form
    379.78/522.96 = 357.86/x
  3. Step 3: Cross multiply
    379.78x = 522.96 × 357.86
  4. Step 4: Simplify right side
    379.78x = 187,146.47
  5. Step 5: Solve for x
    x = 187,146.47/379.78
  6. Step 6: Final answer
    x = 492.78

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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.