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Finding the Fourth Proportional to 165.88, 229.02 and 137.86

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Solution

The fourth proportional to 165.88, 229.02 and 137.86 is: 190.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.88 : 229.02 = 137.86 : x
  2. Step 2: Convert to fraction form
    165.88/229.02 = 137.86/x
  3. Step 3: Cross multiply
    165.88x = 229.02 × 137.86
  4. Step 4: Simplify right side
    165.88x = 31,572.70
  5. Step 5: Solve for x
    x = 31,572.70/165.88
  6. Step 6: Final answer
    x = 190.33

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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.