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Finding the Fourth Proportional to 165.19, 226.87 and 137.51

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Solution

The fourth proportional to 165.19, 226.87 and 137.51 is: 188.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.19 : 226.87 = 137.51 : x
  2. Step 2: Convert to fraction form
    165.19/226.87 = 137.51/x
  3. Step 3: Cross multiply
    165.19x = 226.87 × 137.51
  4. Step 4: Simplify right side
    165.19x = 31,196.89
  5. Step 5: Solve for x
    x = 31,196.89/165.19
  6. Step 6: Final answer
    x = 188.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.