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Finding the Fourth Proportional to 233.58, 321.02 and 222.90

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Solution

The fourth proportional to 233.58, 321.02 and 222.90 is: 306.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.58 : 321.02 = 222.90 : x
  2. Step 2: Convert to fraction form
    233.58/321.02 = 222.90/x
  3. Step 3: Cross multiply
    233.58x = 321.02 × 222.90
  4. Step 4: Simplify right side
    233.58x = 71,555.36
  5. Step 5: Solve for x
    x = 71,555.36/233.58
  6. Step 6: Final answer
    x = 306.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.