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Finding the Fourth Proportional to 189.96, 285.96 and 163.50

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Solution

The fourth proportional to 189.96, 285.96 and 163.50 is: 246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.96 : 285.96 = 163.50 : x
  2. Step 2: Convert to fraction form
    189.96/285.96 = 163.50/x
  3. Step 3: Cross multiply
    189.96x = 285.96 × 163.50
  4. Step 4: Simplify right side
    189.96x = 46,754.46
  5. Step 5: Solve for x
    x = 46,754.46/189.96
  6. Step 6: Final answer
    x = 246.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.