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Finding the Fourth Proportional to 281.60, 388.46 and 183.19

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Solution

The fourth proportional to 281.60, 388.46 and 183.19 is: 252.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.60 : 388.46 = 183.19 : x
  2. Step 2: Convert to fraction form
    281.60/388.46 = 183.19/x
  3. Step 3: Cross multiply
    281.60x = 388.46 × 183.19
  4. Step 4: Simplify right side
    281.60x = 71,161.99
  5. Step 5: Solve for x
    x = 71,161.99/281.60
  6. Step 6: Final answer
    x = 252.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.