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Finding the Fourth Proportional to 285.74, 428.73 and 121.24

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Solution

The fourth proportional to 285.74, 428.73 and 121.24 is: 181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.74 : 428.73 = 121.24 : x
  2. Step 2: Convert to fraction form
    285.74/428.73 = 121.24/x
  3. Step 3: Cross multiply
    285.74x = 428.73 × 121.24
  4. Step 4: Simplify right side
    285.74x = 51,979.31
  5. Step 5: Solve for x
    x = 51,979.31/285.74
  6. Step 6: Final answer
    x = 181.91

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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.