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Finding the Fourth Proportional to 189.51, 282.60 and 182.67

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Solution

The fourth proportional to 189.51, 282.60 and 182.67 is: 272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.51 : 282.60 = 182.67 : x
  2. Step 2: Convert to fraction form
    189.51/282.60 = 182.67/x
  3. Step 3: Cross multiply
    189.51x = 282.60 × 182.67
  4. Step 4: Simplify right side
    189.51x = 51,622.54
  5. Step 5: Solve for x
    x = 51,622.54/189.51
  6. Step 6: Final answer
    x = 272.41

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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.