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Finding the Fourth Proportional to 289.23, 433.85 and 180.87

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Solution

The fourth proportional to 289.23, 433.85 and 180.87 is: 271.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.23 : 433.85 = 180.87 : x
  2. Step 2: Convert to fraction form
    289.23/433.85 = 180.87/x
  3. Step 3: Cross multiply
    289.23x = 433.85 × 180.87
  4. Step 4: Simplify right side
    289.23x = 78,469.55
  5. Step 5: Solve for x
    x = 78,469.55/289.23
  6. Step 6: Final answer
    x = 271.31

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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.