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Finding the Fourth Proportional to 289.89, 433.69 and 251.82

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Solution

The fourth proportional to 289.89, 433.69 and 251.82 is: 376.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.89 : 433.69 = 251.82 : x
  2. Step 2: Convert to fraction form
    289.89/433.69 = 251.82/x
  3. Step 3: Cross multiply
    289.89x = 433.69 × 251.82
  4. Step 4: Simplify right side
    289.89x = 109,211.64
  5. Step 5: Solve for x
    x = 109,211.64/289.89
  6. Step 6: Final answer
    x = 376.73

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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.