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Finding the Fourth Proportional to 233.90, 351.15 and 198.05

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Solution

The fourth proportional to 233.90, 351.15 and 198.05 is: 297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.90 : 351.15 = 198.05 : x
  2. Step 2: Convert to fraction form
    233.90/351.15 = 198.05/x
  3. Step 3: Cross multiply
    233.90x = 351.15 × 198.05
  4. Step 4: Simplify right side
    233.90x = 69,546.14
  5. Step 5: Solve for x
    x = 69,546.14/233.90
  6. Step 6: Final answer
    x = 297.34

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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.