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Finding the Fourth Proportional to 149.06, 205.40 and 143.66

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Solution

The fourth proportional to 149.06, 205.40 and 143.66 is: 197.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.06 : 205.40 = 143.66 : x
  2. Step 2: Convert to fraction form
    149.06/205.40 = 143.66/x
  3. Step 3: Cross multiply
    149.06x = 205.40 × 143.66
  4. Step 4: Simplify right side
    149.06x = 29,507.76
  5. Step 5: Solve for x
    x = 29,507.76/149.06
  6. Step 6: Final answer
    x = 197.96

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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.