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Finding the Fourth Proportional to 146.58, 201.96 and 105.00

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Solution

The fourth proportional to 146.58, 201.96 and 105.00 is: 144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.58 : 201.96 = 105.00 : x
  2. Step 2: Convert to fraction form
    146.58/201.96 = 105.00/x
  3. Step 3: Cross multiply
    146.58x = 201.96 × 105.00
  4. Step 4: Simplify right side
    146.58x = 21,205.04
  5. Step 5: Solve for x
    x = 21,205.04/146.58
  6. Step 6: Final answer
    x = 144.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.