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Finding the Fourth Proportional to 285.73, 428.41 and 90.67

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Solution

The fourth proportional to 285.73, 428.41 and 90.67 is: 135.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.73 : 428.41 = 90.67 : x
  2. Step 2: Convert to fraction form
    285.73/428.41 = 90.67/x
  3. Step 3: Cross multiply
    285.73x = 428.41 × 90.67
  4. Step 4: Simplify right side
    285.73x = 38,843.93
  5. Step 5: Solve for x
    x = 38,843.93/285.73
  6. Step 6: Final answer
    x = 135.95

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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.