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Finding the Fourth Proportional to 232.56, 346.95 and 194.28

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Solution

The fourth proportional to 232.56, 346.95 and 194.28 is: 289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.56 : 346.95 = 194.28 : x
  2. Step 2: Convert to fraction form
    232.56/346.95 = 194.28/x
  3. Step 3: Cross multiply
    232.56x = 346.95 × 194.28
  4. Step 4: Simplify right side
    232.56x = 67,405.45
  5. Step 5: Solve for x
    x = 67,405.45/232.56
  6. Step 6: Final answer
    x = 289.84

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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.