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Finding the Fourth Proportional to 149.40, 224.42 and 131.81

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Solution

The fourth proportional to 149.40, 224.42 and 131.81 is: 197.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.40 : 224.42 = 131.81 : x
  2. Step 2: Convert to fraction form
    149.40/224.42 = 131.81/x
  3. Step 3: Cross multiply
    149.40x = 224.42 × 131.81
  4. Step 4: Simplify right side
    149.40x = 29,579.02
  5. Step 5: Solve for x
    x = 29,579.02/149.40
  6. Step 6: Final answer
    x = 197.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.