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Finding the Fourth Proportional to 289.71, 433.62 and 181.44

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Solution

The fourth proportional to 289.71, 433.62 and 181.44 is: 271.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.71 : 433.62 = 181.44 : x
  2. Step 2: Convert to fraction form
    289.71/433.62 = 181.44/x
  3. Step 3: Cross multiply
    289.71x = 433.62 × 181.44
  4. Step 4: Simplify right side
    289.71x = 78,676.01
  5. Step 5: Solve for x
    x = 78,676.01/289.71
  6. Step 6: Final answer
    x = 271.57

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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.