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Finding the Fourth Proportional to 283.99, 425.85 and 121.81

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Solution

The fourth proportional to 283.99, 425.85 and 121.81 is: 182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.99 : 425.85 = 121.81 : x
  2. Step 2: Convert to fraction form
    283.99/425.85 = 121.81/x
  3. Step 3: Cross multiply
    283.99x = 425.85 × 121.81
  4. Step 4: Simplify right side
    283.99x = 51,872.79
  5. Step 5: Solve for x
    x = 51,872.79/283.99
  6. Step 6: Final answer
    x = 182.66

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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.