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Finding the Fourth Proportional to 352.96, 485.05 and 290.68

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Solution

The fourth proportional to 352.96, 485.05 and 290.68 is: 399.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.96 : 485.05 = 290.68 : x
  2. Step 2: Convert to fraction form
    352.96/485.05 = 290.68/x
  3. Step 3: Cross multiply
    352.96x = 485.05 × 290.68
  4. Step 4: Simplify right side
    352.96x = 140,994.33
  5. Step 5: Solve for x
    x = 140,994.33/352.96
  6. Step 6: Final answer
    x = 399.46

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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.