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Finding the Fourth Proportional to 189.09, 260.86 and 123.57

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Solution

The fourth proportional to 189.09, 260.86 and 123.57 is: 170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.09 : 260.86 = 123.57 : x
  2. Step 2: Convert to fraction form
    189.09/260.86 = 123.57/x
  3. Step 3: Cross multiply
    189.09x = 260.86 × 123.57
  4. Step 4: Simplify right side
    189.09x = 32,234.47
  5. Step 5: Solve for x
    x = 32,234.47/189.09
  6. Step 6: Final answer
    x = 170.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.