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Finding the Fourth Proportional to 98.00, 146.81 and 49.19

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Solution

The fourth proportional to 98.00, 146.81 and 49.19 is: 73.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.00 : 146.81 = 49.19 : x
  2. Step 2: Convert to fraction form
    98.00/146.81 = 49.19/x
  3. Step 3: Cross multiply
    98.00x = 146.81 × 49.19
  4. Step 4: Simplify right side
    98.00x = 7,220.60
  5. Step 5: Solve for x
    x = 7,220.60/98.00
  6. Step 6: Final answer
    x = 73.68

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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.