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Finding the Fourth Proportional to 189.19, 260.67 and 159.58

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Solution

The fourth proportional to 189.19, 260.67 and 159.58 is: 219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.19 : 260.67 = 159.58 : x
  2. Step 2: Convert to fraction form
    189.19/260.67 = 159.58/x
  3. Step 3: Cross multiply
    189.19x = 260.67 × 159.58
  4. Step 4: Simplify right side
    189.19x = 41,597.72
  5. Step 5: Solve for x
    x = 41,597.72/189.19
  6. Step 6: Final answer
    x = 219.87

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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.