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Finding the Fourth Proportional to 149.64, 223.38 and 139.38

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Solution

The fourth proportional to 149.64, 223.38 and 139.38 is: 208.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.64 : 223.38 = 139.38 : x
  2. Step 2: Convert to fraction form
    149.64/223.38 = 139.38/x
  3. Step 3: Cross multiply
    149.64x = 223.38 × 139.38
  4. Step 4: Simplify right side
    149.64x = 31,134.70
  5. Step 5: Solve for x
    x = 31,134.70/149.64
  6. Step 6: Final answer
    x = 208.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.