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Finding the Fourth Proportional to 285.44, 428.14 and 120.96

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Solution

The fourth proportional to 285.44, 428.14 and 120.96 is: 181.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.44 : 428.14 = 120.96 : x
  2. Step 2: Convert to fraction form
    285.44/428.14 = 120.96/x
  3. Step 3: Cross multiply
    285.44x = 428.14 × 120.96
  4. Step 4: Simplify right side
    285.44x = 51,787.81
  5. Step 5: Solve for x
    x = 51,787.81/285.44
  6. Step 6: Final answer
    x = 181.43

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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.