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Finding the Fourth Proportional to 149.56, 206.29 and 91.37

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Solution

The fourth proportional to 149.56, 206.29 and 91.37 is: 126.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.56 : 206.29 = 91.37 : x
  2. Step 2: Convert to fraction form
    149.56/206.29 = 91.37/x
  3. Step 3: Cross multiply
    149.56x = 206.29 × 91.37
  4. Step 4: Simplify right side
    149.56x = 18,848.72
  5. Step 5: Solve for x
    x = 18,848.72/149.56
  6. Step 6: Final answer
    x = 126.03

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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.