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Finding the Fourth Proportional to 149.53, 222.80 and 140.22

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Solution

The fourth proportional to 149.53, 222.80 and 140.22 is: 208.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.53 : 222.80 = 140.22 : x
  2. Step 2: Convert to fraction form
    149.53/222.80 = 140.22/x
  3. Step 3: Cross multiply
    149.53x = 222.80 × 140.22
  4. Step 4: Simplify right side
    149.53x = 31,241.02
  5. Step 5: Solve for x
    x = 31,241.02/149.53
  6. Step 6: Final answer
    x = 208.93

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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.