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Finding the Fourth Proportional to 149.40, 206.22 and 91.23

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Solution

The fourth proportional to 149.40, 206.22 and 91.23 is: 125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.40 : 206.22 = 91.23 : x
  2. Step 2: Convert to fraction form
    149.40/206.22 = 91.23/x
  3. Step 3: Cross multiply
    149.40x = 206.22 × 91.23
  4. Step 4: Simplify right side
    149.40x = 18,813.45
  5. Step 5: Solve for x
    x = 18,813.45/149.40
  6. Step 6: Final answer
    x = 125.93

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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.