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Finding the Fourth Proportional to 149.05, 224.52 and 139.94

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Solution

The fourth proportional to 149.05, 224.52 and 139.94 is: 210.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.05 : 224.52 = 139.94 : x
  2. Step 2: Convert to fraction form
    149.05/224.52 = 139.94/x
  3. Step 3: Cross multiply
    149.05x = 224.52 × 139.94
  4. Step 4: Simplify right side
    149.05x = 31,418.52
  5. Step 5: Solve for x
    x = 31,418.52/149.05
  6. Step 6: Final answer
    x = 210.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.