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Finding the Fourth Proportional to 235.26, 354.49 and 195.57

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Solution

The fourth proportional to 235.26, 354.49 and 195.57 is: 294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.26 : 354.49 = 195.57 : x
  2. Step 2: Convert to fraction form
    235.26/354.49 = 195.57/x
  3. Step 3: Cross multiply
    235.26x = 354.49 × 195.57
  4. Step 4: Simplify right side
    235.26x = 69,326.63
  5. Step 5: Solve for x
    x = 69,326.63/235.26
  6. Step 6: Final answer
    x = 294.68

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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.