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Finding the Fourth Proportional to 189.96, 263.45 and 178.08

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Solution

The fourth proportional to 189.96, 263.45 and 178.08 is: 246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.96 : 263.45 = 178.08 : x
  2. Step 2: Convert to fraction form
    189.96/263.45 = 178.08/x
  3. Step 3: Cross multiply
    189.96x = 263.45 × 178.08
  4. Step 4: Simplify right side
    189.96x = 46,914.29
  5. Step 5: Solve for x
    x = 46,914.29/189.96
  6. Step 6: Final answer
    x = 246.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.