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Finding the Fourth Proportional to 285.73, 428.56 and 100.62

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Solution

The fourth proportional to 285.73, 428.56 and 100.62 is: 150.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.73 : 428.56 = 100.62 : x
  2. Step 2: Convert to fraction form
    285.73/428.56 = 100.62/x
  3. Step 3: Cross multiply
    285.73x = 428.56 × 100.62
  4. Step 4: Simplify right side
    285.73x = 43,121.46
  5. Step 5: Solve for x
    x = 43,121.46/285.73
  6. Step 6: Final answer
    x = 150.92

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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.