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Finding the Fourth Proportional to 379.62, 522.75 and 352.06

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Solution

The fourth proportional to 379.62, 522.75 and 352.06 is: 484.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.62 : 522.75 = 352.06 : x
  2. Step 2: Convert to fraction form
    379.62/522.75 = 352.06/x
  3. Step 3: Cross multiply
    379.62x = 522.75 × 352.06
  4. Step 4: Simplify right side
    379.62x = 184,037.40
  5. Step 5: Solve for x
    x = 184,037.40/379.62
  6. Step 6: Final answer
    x = 484.79

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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.