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Finding the Fourth Proportional to 190.44, 285.69 and 145.35

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Solution

The fourth proportional to 190.44, 285.69 and 145.35 is: 218.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.44 : 285.69 = 145.35 : x
  2. Step 2: Convert to fraction form
    190.44/285.69 = 145.35/x
  3. Step 3: Cross multiply
    190.44x = 285.69 × 145.35
  4. Step 4: Simplify right side
    190.44x = 41,525.04
  5. Step 5: Solve for x
    x = 41,525.04/190.44
  6. Step 6: Final answer
    x = 218.05

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