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Finding the Fourth Proportional to 235.42, 351.45 and 194.92

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Solution

The fourth proportional to 235.42, 351.45 and 194.92 is: 290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.42 : 351.45 = 194.92 : x
  2. Step 2: Convert to fraction form
    235.42/351.45 = 194.92/x
  3. Step 3: Cross multiply
    235.42x = 351.45 × 194.92
  4. Step 4: Simplify right side
    235.42x = 68,504.63
  5. Step 5: Solve for x
    x = 68,504.63/235.42
  6. Step 6: Final answer
    x = 290.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.