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Finding the Fourth Proportional to 379.64, 522.79 and 329.82

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Solution

The fourth proportional to 379.64, 522.79 and 329.82 is: 454.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.64 : 522.79 = 329.82 : x
  2. Step 2: Convert to fraction form
    379.64/522.79 = 329.82/x
  3. Step 3: Cross multiply
    379.64x = 522.79 × 329.82
  4. Step 4: Simplify right side
    379.64x = 172,426.60
  5. Step 5: Solve for x
    x = 172,426.60/379.64
  6. Step 6: Final answer
    x = 454.19

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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.