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Finding the Fourth Proportional to 290.06, 434.89 and 107.36

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Solution

The fourth proportional to 290.06, 434.89 and 107.36 is: 160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.06 : 434.89 = 107.36 : x
  2. Step 2: Convert to fraction form
    290.06/434.89 = 107.36/x
  3. Step 3: Cross multiply
    290.06x = 434.89 × 107.36
  4. Step 4: Simplify right side
    290.06x = 46,687.88
  5. Step 5: Solve for x
    x = 46,687.88/290.06
  6. Step 6: Final answer
    x = 160.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.