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Finding the Fourth Proportional to 189.31, 260.26 and 188.14

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Solution

The fourth proportional to 189.31, 260.26 and 188.14 is: 258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.31 : 260.26 = 188.14 : x
  2. Step 2: Convert to fraction form
    189.31/260.26 = 188.14/x
  3. Step 3: Cross multiply
    189.31x = 260.26 × 188.14
  4. Step 4: Simplify right side
    189.31x = 48,964.85
  5. Step 5: Solve for x
    x = 48,964.85/189.31
  6. Step 6: Final answer
    x = 258.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.