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Finding the Fourth Proportional to 149.23, 205.75 and 107.77

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Solution

The fourth proportional to 149.23, 205.75 and 107.77 is: 148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.23 : 205.75 = 107.77 : x
  2. Step 2: Convert to fraction form
    149.23/205.75 = 107.77/x
  3. Step 3: Cross multiply
    149.23x = 205.75 × 107.77
  4. Step 4: Simplify right side
    149.23x = 22,173.55
  5. Step 5: Solve for x
    x = 22,173.55/149.23
  6. Step 6: Final answer
    x = 148.59

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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.