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Finding the Fourth Proportional to 149.49, 205.85 and 146.30

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Solution

The fourth proportional to 149.49, 205.85 and 146.30 is: 201.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.49 : 205.85 = 146.30 : x
  2. Step 2: Convert to fraction form
    149.49/205.85 = 146.30/x
  3. Step 3: Cross multiply
    149.49x = 205.85 × 146.30
  4. Step 4: Simplify right side
    149.49x = 30,114.09
  5. Step 5: Solve for x
    x = 30,114.09/149.49
  6. Step 6: Final answer
    x = 201.45

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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.