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Finding the Fourth Proportional to 233.90, 350.97 and 222.03

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Solution

The fourth proportional to 233.90, 350.97 and 222.03 is: 333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.90 : 350.97 = 222.03 : x
  2. Step 2: Convert to fraction form
    233.90/350.97 = 222.03/x
  3. Step 3: Cross multiply
    233.90x = 350.97 × 222.03
  4. Step 4: Simplify right side
    233.90x = 77,925.87
  5. Step 5: Solve for x
    x = 77,925.87/233.90
  6. Step 6: Final answer
    x = 333.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.