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Finding the Fourth Proportional to 290.05, 434.86 and 107.57

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Solution

The fourth proportional to 290.05, 434.86 and 107.57 is: 161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.05 : 434.86 = 107.57 : x
  2. Step 2: Convert to fraction form
    290.05/434.86 = 107.57/x
  3. Step 3: Cross multiply
    290.05x = 434.86 × 107.57
  4. Step 4: Simplify right side
    290.05x = 46,778.71
  5. Step 5: Solve for x
    x = 46,778.71/290.05
  6. Step 6: Final answer
    x = 161.28

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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.