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Finding the Fourth Proportional to 190.13, 284.58 and 144.23

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Solution

The fourth proportional to 190.13, 284.58 and 144.23 is: 215.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.13 : 284.58 = 144.23 : x
  2. Step 2: Convert to fraction form
    190.13/284.58 = 144.23/x
  3. Step 3: Cross multiply
    190.13x = 284.58 × 144.23
  4. Step 4: Simplify right side
    190.13x = 41,044.54
  5. Step 5: Solve for x
    x = 41,044.54/190.13
  6. Step 6: Final answer
    x = 215.87

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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.