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Finding the Fourth Proportional to 189.96, 260.96 and 183.18

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Solution

The fourth proportional to 189.96, 260.96 and 183.18 is: 251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.96 : 260.96 = 183.18 : x
  2. Step 2: Convert to fraction form
    189.96/260.96 = 183.18/x
  3. Step 3: Cross multiply
    189.96x = 260.96 × 183.18
  4. Step 4: Simplify right side
    189.96x = 47,801.74
  5. Step 5: Solve for x
    x = 47,801.74/189.96
  6. Step 6: Final answer
    x = 251.64

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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.