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Finding the Fourth Proportional to 127.29, 189.98 and 109.86

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Solution

The fourth proportional to 127.29, 189.98 and 109.86 is: 163.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.29 : 189.98 = 109.86 : x
  2. Step 2: Convert to fraction form
    127.29/189.98 = 109.86/x
  3. Step 3: Cross multiply
    127.29x = 189.98 × 109.86
  4. Step 4: Simplify right side
    127.29x = 20,871.48
  5. Step 5: Solve for x
    x = 20,871.48/127.29
  6. Step 6: Final answer
    x = 163.97

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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.