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Finding the Fourth Proportional to 149.53, 223.03 and 140.95

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Solution

The fourth proportional to 149.53, 223.03 and 140.95 is: 210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.53 : 223.03 = 140.95 : x
  2. Step 2: Convert to fraction form
    149.53/223.03 = 140.95/x
  3. Step 3: Cross multiply
    149.53x = 223.03 × 140.95
  4. Step 4: Simplify right side
    149.53x = 31,435.37
  5. Step 5: Solve for x
    x = 31,435.37/149.53
  6. Step 6: Final answer
    x = 210.23

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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.