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Finding the Fourth Proportional to 352.29, 485.37 and 290.31

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Solution

The fourth proportional to 352.29, 485.37 and 290.31 is: 399.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.29 : 485.37 = 290.31 : x
  2. Step 2: Convert to fraction form
    352.29/485.37 = 290.31/x
  3. Step 3: Cross multiply
    352.29x = 485.37 × 290.31
  4. Step 4: Simplify right side
    352.29x = 140,907.76
  5. Step 5: Solve for x
    x = 140,907.76/352.29
  6. Step 6: Final answer
    x = 399.98

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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.