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Finding the Fourth Proportional to 289.87, 434.43 and 180

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Solution

The fourth proportional to 289.87, 434.43 and 180 is: 269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.87 : 434.43 = 180 : x
  2. Step 2: Convert to fraction form
    289.87/434.43 = 180/x
  3. Step 3: Cross multiply
    289.87x = 434.43 × 180
  4. Step 4: Simplify right side
    289.87x = 78,197.40
  5. Step 5: Solve for x
    x = 78,197.40/289.87
  6. Step 6: Final answer
    x = 269.77

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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.