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Finding the Fourth Proportional to 285.87, 428.72 and 121.33

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Solution

The fourth proportional to 285.87, 428.72 and 121.33 is: 181.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.87 : 428.72 = 121.33 : x
  2. Step 2: Convert to fraction form
    285.87/428.72 = 121.33/x
  3. Step 3: Cross multiply
    285.87x = 428.72 × 121.33
  4. Step 4: Simplify right side
    285.87x = 52,017.85
  5. Step 5: Solve for x
    x = 52,017.85/285.87
  6. Step 6: Final answer
    x = 181.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.