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Finding the Fourth Proportional to 149.40, 204.51 and 144.60

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Solution

The fourth proportional to 149.40, 204.51 and 144.60 is: 197.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.40 : 204.51 = 144.60 : x
  2. Step 2: Convert to fraction form
    149.40/204.51 = 144.60/x
  3. Step 3: Cross multiply
    149.40x = 204.51 × 144.60
  4. Step 4: Simplify right side
    149.40x = 29,572.15
  5. Step 5: Solve for x
    x = 29,572.15/149.40
  6. Step 6: Final answer
    x = 197.94

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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.