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Finding the Fourth Proportional to 283.48, 391.62 and 281.32

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Solution

The fourth proportional to 283.48, 391.62 and 281.32 is: 388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.48 : 391.62 = 281.32 : x
  2. Step 2: Convert to fraction form
    283.48/391.62 = 281.32/x
  3. Step 3: Cross multiply
    283.48x = 391.62 × 281.32
  4. Step 4: Simplify right side
    283.48x = 110,170.54
  5. Step 5: Solve for x
    x = 110,170.54/283.48
  6. Step 6: Final answer
    x = 388.64

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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.