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Finding the Fourth Proportional to 285.43, 428.39 and 155.54

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Solution

The fourth proportional to 285.43, 428.39 and 155.54 is: 233.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.43 : 428.39 = 155.54 : x
  2. Step 2: Convert to fraction form
    285.43/428.39 = 155.54/x
  3. Step 3: Cross multiply
    285.43x = 428.39 × 155.54
  4. Step 4: Simplify right side
    285.43x = 66,631.00
  5. Step 5: Solve for x
    x = 66,631.00/285.43
  6. Step 6: Final answer
    x = 233.44

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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.