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Finding the Fourth Proportional to 149.03, 205.19 and 118.05

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Solution

The fourth proportional to 149.03, 205.19 and 118.05 is: 162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.03 : 205.19 = 118.05 : x
  2. Step 2: Convert to fraction form
    149.03/205.19 = 118.05/x
  3. Step 3: Cross multiply
    149.03x = 205.19 × 118.05
  4. Step 4: Simplify right side
    149.03x = 24,222.68
  5. Step 5: Solve for x
    x = 24,222.68/149.03
  6. Step 6: Final answer
    x = 162.54

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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.