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Finding the Fourth Proportional to 149.91, 206.42 and 139.02

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Solution

The fourth proportional to 149.91, 206.42 and 139.02 is: 191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.91 : 206.42 = 139.02 : x
  2. Step 2: Convert to fraction form
    149.91/206.42 = 139.02/x
  3. Step 3: Cross multiply
    149.91x = 206.42 × 139.02
  4. Step 4: Simplify right side
    149.91x = 28,695.82
  5. Step 5: Solve for x
    x = 28,695.82/149.91
  6. Step 6: Final answer
    x = 191.43

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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.