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Finding the Fourth Proportional to 140.96, 210.51 and 120.51

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Solution

The fourth proportional to 140.96, 210.51 and 120.51 is: 179.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.96 : 210.51 = 120.51 : x
  2. Step 2: Convert to fraction form
    140.96/210.51 = 120.51/x
  3. Step 3: Cross multiply
    140.96x = 210.51 × 120.51
  4. Step 4: Simplify right side
    140.96x = 25,368.56
  5. Step 5: Solve for x
    x = 25,368.56/140.96
  6. Step 6: Final answer
    x = 179.97

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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.