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Finding the Fourth Proportional to 164.73, 246.78 and 140.43

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Solution

The fourth proportional to 164.73, 246.78 and 140.43 is: 210.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.73 : 246.78 = 140.43 : x
  2. Step 2: Convert to fraction form
    164.73/246.78 = 140.43/x
  3. Step 3: Cross multiply
    164.73x = 246.78 × 140.43
  4. Step 4: Simplify right side
    164.73x = 34,655.32
  5. Step 5: Solve for x
    x = 34,655.32/164.73
  6. Step 6: Final answer
    x = 210.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.