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Finding the Fourth Proportional to 192.85, 290.59 and 159.37

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Solution

The fourth proportional to 192.85, 290.59 and 159.37 is: 240.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.85 : 290.59 = 159.37 : x
  2. Step 2: Convert to fraction form
    192.85/290.59 = 159.37/x
  3. Step 3: Cross multiply
    192.85x = 290.59 × 159.37
  4. Step 4: Simplify right side
    192.85x = 46,310.20
  5. Step 5: Solve for x
    x = 46,310.20/192.85
  6. Step 6: Final answer
    x = 240.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.