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Finding the Fourth Proportional to 189.82, 285.73 and 161.98

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Solution

The fourth proportional to 189.82, 285.73 and 161.98 is: 243.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.82 : 285.73 = 161.98 : x
  2. Step 2: Convert to fraction form
    189.82/285.73 = 161.98/x
  3. Step 3: Cross multiply
    189.82x = 285.73 × 161.98
  4. Step 4: Simplify right side
    189.82x = 46,282.55
  5. Step 5: Solve for x
    x = 46,282.55/189.82
  6. Step 6: Final answer
    x = 243.82

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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.