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Finding the Fourth Proportional to 281.82, 388.34 and 233.04

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Solution

The fourth proportional to 281.82, 388.34 and 233.04 is: 321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.82 : 388.34 = 233.04 : x
  2. Step 2: Convert to fraction form
    281.82/388.34 = 233.04/x
  3. Step 3: Cross multiply
    281.82x = 388.34 × 233.04
  4. Step 4: Simplify right side
    281.82x = 90,498.75
  5. Step 5: Solve for x
    x = 90,498.75/281.82
  6. Step 6: Final answer
    x = 321.12

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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.