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Finding the Fourth Proportional to 283.94, 425.53 and 121.42

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Solution

The fourth proportional to 283.94, 425.53 and 121.42 is: 181.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.94 : 425.53 = 121.42 : x
  2. Step 2: Convert to fraction form
    283.94/425.53 = 121.42/x
  3. Step 3: Cross multiply
    283.94x = 425.53 × 121.42
  4. Step 4: Simplify right side
    283.94x = 51,667.85
  5. Step 5: Solve for x
    x = 51,667.85/283.94
  6. Step 6: Final answer
    x = 181.97

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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.