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Finding the Fourth Proportional to 164.28, 226.94 and 149.50

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Solution

The fourth proportional to 164.28, 226.94 and 149.50 is: 206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.28 : 226.94 = 149.50 : x
  2. Step 2: Convert to fraction form
    164.28/226.94 = 149.50/x
  3. Step 3: Cross multiply
    164.28x = 226.94 × 149.50
  4. Step 4: Simplify right side
    164.28x = 33,927.35
  5. Step 5: Solve for x
    x = 33,927.35/164.28
  6. Step 6: Final answer
    x = 206.52

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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.