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Finding the Fourth Proportional to 189.23, 262.37 and 186.93

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Solution

The fourth proportional to 189.23, 262.37 and 186.93 is: 259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.23 : 262.37 = 186.93 : x
  2. Step 2: Convert to fraction form
    189.23/262.37 = 186.93/x
  3. Step 3: Cross multiply
    189.23x = 262.37 × 186.93
  4. Step 4: Simplify right side
    189.23x = 49,043.89
  5. Step 5: Solve for x
    x = 49,043.89/189.23
  6. Step 6: Final answer
    x = 259.18

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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.