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Finding the Fourth Proportional to 379.31, 522.95 and 296.28

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Solution

The fourth proportional to 379.31, 522.95 and 296.28 is: 408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.31 : 522.95 = 296.28 : x
  2. Step 2: Convert to fraction form
    379.31/522.95 = 296.28/x
  3. Step 3: Cross multiply
    379.31x = 522.95 × 296.28
  4. Step 4: Simplify right side
    379.31x = 154,938.14
  5. Step 5: Solve for x
    x = 154,938.14/379.31
  6. Step 6: Final answer
    x = 408.48

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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.