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Finding the Fourth Proportional to 289.49, 434.22 and 106.80

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Solution

The fourth proportional to 289.49, 434.22 and 106.80 is: 160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.49 : 434.22 = 106.80 : x
  2. Step 2: Convert to fraction form
    289.49/434.22 = 106.80/x
  3. Step 3: Cross multiply
    289.49x = 434.22 × 106.80
  4. Step 4: Simplify right side
    289.49x = 46,374.70
  5. Step 5: Solve for x
    x = 46,374.70/289.49
  6. Step 6: Final answer
    x = 160.20

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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.