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Finding the Fourth Proportional to 190.74, 285.14 and 144.84

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Solution

The fourth proportional to 190.74, 285.14 and 144.84 is: 216.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.74 : 285.14 = 144.84 : x
  2. Step 2: Convert to fraction form
    190.74/285.14 = 144.84/x
  3. Step 3: Cross multiply
    190.74x = 285.14 × 144.84
  4. Step 4: Simplify right side
    190.74x = 41,299.68
  5. Step 5: Solve for x
    x = 41,299.68/190.74
  6. Step 6: Final answer
    x = 216.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.