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Finding the Fourth Proportional to 164.97, 246.33 and 140.67

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Solution

The fourth proportional to 164.97, 246.33 and 140.67 is: 210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.97 : 246.33 = 140.67 : x
  2. Step 2: Convert to fraction form
    164.97/246.33 = 140.67/x
  3. Step 3: Cross multiply
    164.97x = 246.33 × 140.67
  4. Step 4: Simplify right side
    164.97x = 34,651.24
  5. Step 5: Solve for x
    x = 34,651.24/164.97
  6. Step 6: Final answer
    x = 210.05

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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.