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Finding the Fourth Proportional to 164.69, 226.19 and 137.01

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Solution

The fourth proportional to 164.69, 226.19 and 137.01 is: 188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.69 : 226.19 = 137.01 : x
  2. Step 2: Convert to fraction form
    164.69/226.19 = 137.01/x
  3. Step 3: Cross multiply
    164.69x = 226.19 × 137.01
  4. Step 4: Simplify right side
    164.69x = 30,989.61
  5. Step 5: Solve for x
    x = 30,989.61/164.69
  6. Step 6: Final answer
    x = 188.18

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Why These Related Problems?

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