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Finding the Fourth Proportional to 189.36, 262.53 and 182.68

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Solution

The fourth proportional to 189.36, 262.53 and 182.68 is: 253.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.36 : 262.53 = 182.68 : x
  2. Step 2: Convert to fraction form
    189.36/262.53 = 182.68/x
  3. Step 3: Cross multiply
    189.36x = 262.53 × 182.68
  4. Step 4: Simplify right side
    189.36x = 47,958.32
  5. Step 5: Solve for x
    x = 47,958.32/189.36
  6. Step 6: Final answer
    x = 253.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.