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Finding the Fourth Proportional to 234.42, 349.96 and 193.92

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Solution

The fourth proportional to 234.42, 349.96 and 193.92 is: 289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.42 : 349.96 = 193.92 : x
  2. Step 2: Convert to fraction form
    234.42/349.96 = 193.92/x
  3. Step 3: Cross multiply
    234.42x = 349.96 × 193.92
  4. Step 4: Simplify right side
    234.42x = 67,864.24
  5. Step 5: Solve for x
    x = 67,864.24/234.42
  6. Step 6: Final answer
    x = 289.50

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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.