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Finding the Fourth Proportional to 285.82, 428.67 and 121.23

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Solution

The fourth proportional to 285.82, 428.67 and 121.23 is: 181.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.82 : 428.67 = 121.23 : x
  2. Step 2: Convert to fraction form
    285.82/428.67 = 121.23/x
  3. Step 3: Cross multiply
    285.82x = 428.67 × 121.23
  4. Step 4: Simplify right side
    285.82x = 51,967.66
  5. Step 5: Solve for x
    x = 51,967.66/285.82
  6. Step 6: Final answer
    x = 181.82

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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.