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Finding the Fourth Proportional to 149.42, 206.22 and 90.44

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Solution

The fourth proportional to 149.42, 206.22 and 90.44 is: 124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.42 : 206.22 = 90.44 : x
  2. Step 2: Convert to fraction form
    149.42/206.22 = 90.44/x
  3. Step 3: Cross multiply
    149.42x = 206.22 × 90.44
  4. Step 4: Simplify right side
    149.42x = 18,649.94
  5. Step 5: Solve for x
    x = 18,649.94/149.42
  6. Step 6: Final answer
    x = 124.81

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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.