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Finding the Fourth Proportional to 357.26, 490.38 and 317.04

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Solution

The fourth proportional to 357.26, 490.38 and 317.04 is: 435.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.26 : 490.38 = 317.04 : x
  2. Step 2: Convert to fraction form
    357.26/490.38 = 317.04/x
  3. Step 3: Cross multiply
    357.26x = 490.38 × 317.04
  4. Step 4: Simplify right side
    357.26x = 155,469.43
  5. Step 5: Solve for x
    x = 155,469.43/357.26
  6. Step 6: Final answer
    x = 435.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.