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Finding the Fourth Proportional to 149.02, 204.44 and 139.70

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Solution

The fourth proportional to 149.02, 204.44 and 139.70 is: 191.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.02 : 204.44 = 139.70 : x
  2. Step 2: Convert to fraction form
    149.02/204.44 = 139.70/x
  3. Step 3: Cross multiply
    149.02x = 204.44 × 139.70
  4. Step 4: Simplify right side
    149.02x = 28,560.27
  5. Step 5: Solve for x
    x = 28,560.27/149.02
  6. Step 6: Final answer
    x = 191.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.