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Finding the Fourth Proportional to 164.33, 244.67 and 154.31

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Solution

The fourth proportional to 164.33, 244.67 and 154.31 is: 229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.33 : 244.67 = 154.31 : x
  2. Step 2: Convert to fraction form
    164.33/244.67 = 154.31/x
  3. Step 3: Cross multiply
    164.33x = 244.67 × 154.31
  4. Step 4: Simplify right side
    164.33x = 37,753.90
  5. Step 5: Solve for x
    x = 37,753.90/164.33
  6. Step 6: Final answer
    x = 229.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.