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Finding the Fourth Proportional to 357.92, 494.20 and 352.24

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Solution

The fourth proportional to 357.92, 494.20 and 352.24 is: 486.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.92 : 494.20 = 352.24 : x
  2. Step 2: Convert to fraction form
    357.92/494.20 = 352.24/x
  3. Step 3: Cross multiply
    357.92x = 494.20 × 352.24
  4. Step 4: Simplify right side
    357.92x = 174,077.01
  5. Step 5: Solve for x
    x = 174,077.01/357.92
  6. Step 6: Final answer
    x = 486.36

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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.