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Finding the Fourth Proportional to 149.55, 205.16 and 140.23

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Solution

The fourth proportional to 149.55, 205.16 and 140.23 is: 192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.55 : 205.16 = 140.23 : x
  2. Step 2: Convert to fraction form
    149.55/205.16 = 140.23/x
  3. Step 3: Cross multiply
    149.55x = 205.16 × 140.23
  4. Step 4: Simplify right side
    149.55x = 28,769.54
  5. Step 5: Solve for x
    x = 28,769.54/149.55
  6. Step 6: Final answer
    x = 192.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.