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Finding the Fourth Proportional to 357.72, 494.07 and 354.96

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Solution

The fourth proportional to 357.72, 494.07 and 354.96 is: 490.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.72 : 494.07 = 354.96 : x
  2. Step 2: Convert to fraction form
    357.72/494.07 = 354.96/x
  3. Step 3: Cross multiply
    357.72x = 494.07 × 354.96
  4. Step 4: Simplify right side
    357.72x = 175,375.09
  5. Step 5: Solve for x
    x = 175,375.09/357.72
  6. Step 6: Final answer
    x = 490.26

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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.