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Finding the Fourth Proportional to 149.15, 206.07 and 112.43

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Solution

The fourth proportional to 149.15, 206.07 and 112.43 is: 155.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.15 : 206.07 = 112.43 : x
  2. Step 2: Convert to fraction form
    149.15/206.07 = 112.43/x
  3. Step 3: Cross multiply
    149.15x = 206.07 × 112.43
  4. Step 4: Simplify right side
    149.15x = 23,168.45
  5. Step 5: Solve for x
    x = 23,168.45/149.15
  6. Step 6: Final answer
    x = 155.34

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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.