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Finding the Fourth Proportional to 164.35, 226.73 and 109.01

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Solution

The fourth proportional to 164.35, 226.73 and 109.01 is: 150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.35 : 226.73 = 109.01 : x
  2. Step 2: Convert to fraction form
    164.35/226.73 = 109.01/x
  3. Step 3: Cross multiply
    164.35x = 226.73 × 109.01
  4. Step 4: Simplify right side
    164.35x = 24,715.84
  5. Step 5: Solve for x
    x = 24,715.84/164.35
  6. Step 6: Final answer
    x = 150.39

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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.