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Finding the Fourth Proportional to 190.37, 285.89 and 141.63

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Solution

The fourth proportional to 190.37, 285.89 and 141.63 is: 212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.37 : 285.89 = 141.63 : x
  2. Step 2: Convert to fraction form
    190.37/285.89 = 141.63/x
  3. Step 3: Cross multiply
    190.37x = 285.89 × 141.63
  4. Step 4: Simplify right side
    190.37x = 40,489.89
  5. Step 5: Solve for x
    x = 40,489.89/190.37
  6. Step 6: Final answer
    x = 212.70

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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.