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Finding the Fourth Proportional to 149.80, 205.55 and 133.60

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Solution

The fourth proportional to 149.80, 205.55 and 133.60 is: 183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.80 : 205.55 = 133.60 : x
  2. Step 2: Convert to fraction form
    149.80/205.55 = 133.60/x
  3. Step 3: Cross multiply
    149.80x = 205.55 × 133.60
  4. Step 4: Simplify right side
    149.80x = 27,461.48
  5. Step 5: Solve for x
    x = 27,461.48/149.80
  6. Step 6: Final answer
    x = 183.32

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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.