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Finding the Fourth Proportional to 233.64, 349.92 and 198

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Solution

The fourth proportional to 233.64, 349.92 and 198 is: 296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.64 : 349.92 = 198 : x
  2. Step 2: Convert to fraction form
    233.64/349.92 = 198/x
  3. Step 3: Cross multiply
    233.64x = 349.92 × 198
  4. Step 4: Simplify right side
    233.64x = 69,284.16
  5. Step 5: Solve for x
    x = 69,284.16/233.64
  6. Step 6: Final answer
    x = 296.54

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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.