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Finding the Fourth Proportional to 285.62, 428.09 and 155.43

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Solution

The fourth proportional to 285.62, 428.09 and 155.43 is: 232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.62 : 428.09 = 155.43 : x
  2. Step 2: Convert to fraction form
    285.62/428.09 = 155.43/x
  3. Step 3: Cross multiply
    285.62x = 428.09 × 155.43
  4. Step 4: Simplify right side
    285.62x = 66,537.25
  5. Step 5: Solve for x
    x = 66,537.25/285.62
  6. Step 6: Final answer
    x = 232.96

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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.