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Finding the Fourth Proportional to 189.93, 283.41 and 165.33

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Solution

The fourth proportional to 189.93, 283.41 and 165.33 is: 246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.93 : 283.41 = 165.33 : x
  2. Step 2: Convert to fraction form
    189.93/283.41 = 165.33/x
  3. Step 3: Cross multiply
    189.93x = 283.41 × 165.33
  4. Step 4: Simplify right side
    189.93x = 46,856.01
  5. Step 5: Solve for x
    x = 46,856.01/189.93
  6. Step 6: Final answer
    x = 246.70

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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.