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Finding the Fourth Proportional to 283.56, 427.26 and 233.33

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Solution

The fourth proportional to 283.56, 427.26 and 233.33 is: 351.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.56 : 427.26 = 233.33 : x
  2. Step 2: Convert to fraction form
    283.56/427.26 = 233.33/x
  3. Step 3: Cross multiply
    283.56x = 427.26 × 233.33
  4. Step 4: Simplify right side
    283.56x = 99,691.31
  5. Step 5: Solve for x
    x = 99,691.31/283.56
  6. Step 6: Final answer
    x = 351.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.