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Finding the Fourth Proportional to 357.67, 490.42 and 322.56

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Solution

The fourth proportional to 357.67, 490.42 and 322.56 is: 442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.67 : 490.42 = 322.56 : x
  2. Step 2: Convert to fraction form
    357.67/490.42 = 322.56/x
  3. Step 3: Cross multiply
    357.67x = 490.42 × 322.56
  4. Step 4: Simplify right side
    357.67x = 158,187.54
  5. Step 5: Solve for x
    x = 158,187.54/357.67
  6. Step 6: Final answer
    x = 442.28

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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.