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Finding the Fourth Proportional to 190.73, 284.67 and 166.29

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Solution

The fourth proportional to 190.73, 284.67 and 166.29 is: 248.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.73 : 284.67 = 166.29 : x
  2. Step 2: Convert to fraction form
    190.73/284.67 = 166.29/x
  3. Step 3: Cross multiply
    190.73x = 284.67 × 166.29
  4. Step 4: Simplify right side
    190.73x = 47,337.77
  5. Step 5: Solve for x
    x = 47,337.77/190.73
  6. Step 6: Final answer
    x = 248.20

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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.