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Finding the Fourth Proportional to 235.63, 355.05 and 195.94

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Solution

The fourth proportional to 235.63, 355.05 and 195.94 is: 295.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.63 : 355.05 = 195.94 : x
  2. Step 2: Convert to fraction form
    235.63/355.05 = 195.94/x
  3. Step 3: Cross multiply
    235.63x = 355.05 × 195.94
  4. Step 4: Simplify right side
    235.63x = 69,568.50
  5. Step 5: Solve for x
    x = 69,568.50/235.63
  6. Step 6: Final answer
    x = 295.24

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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.