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Finding the Fourth Proportional to 188.38, 259.91 and 163.77

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Solution

The fourth proportional to 188.38, 259.91 and 163.77 is: 225.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.38 : 259.91 = 163.77 : x
  2. Step 2: Convert to fraction form
    188.38/259.91 = 163.77/x
  3. Step 3: Cross multiply
    188.38x = 259.91 × 163.77
  4. Step 4: Simplify right side
    188.38x = 42,565.46
  5. Step 5: Solve for x
    x = 42,565.46/188.38
  6. Step 6: Final answer
    x = 225.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.