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Finding the Fourth Proportional to 149.06, 205.83 and 118.14

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Solution

The fourth proportional to 149.06, 205.83 and 118.14 is: 163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.06 : 205.83 = 118.14 : x
  2. Step 2: Convert to fraction form
    149.06/205.83 = 118.14/x
  3. Step 3: Cross multiply
    149.06x = 205.83 × 118.14
  4. Step 4: Simplify right side
    149.06x = 24,315.98
  5. Step 5: Solve for x
    x = 24,315.98/149.06
  6. Step 6: Final answer
    x = 163.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.