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Finding the Fourth Proportional to 164.97, 246.34 and 138.85

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Solution

The fourth proportional to 164.97, 246.34 and 138.85 is: 207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.97 : 246.34 = 138.85 : x
  2. Step 2: Convert to fraction form
    164.97/246.34 = 138.85/x
  3. Step 3: Cross multiply
    164.97x = 246.34 × 138.85
  4. Step 4: Simplify right side
    164.97x = 34,204.31
  5. Step 5: Solve for x
    x = 34,204.31/164.97
  6. Step 6: Final answer
    x = 207.34

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