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Finding the Fourth Proportional to 149.45, 206.19 and 139.64

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Solution

The fourth proportional to 149.45, 206.19 and 139.64 is: 192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.45 : 206.19 = 139.64 : x
  2. Step 2: Convert to fraction form
    149.45/206.19 = 139.64/x
  3. Step 3: Cross multiply
    149.45x = 206.19 × 139.64
  4. Step 4: Simplify right side
    149.45x = 28,791.34
  5. Step 5: Solve for x
    x = 28,791.34/149.45
  6. Step 6: Final answer
    x = 192.66

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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.