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Finding the Fourth Proportional to 189.60, 286.20 and 183.20

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Solution

The fourth proportional to 189.60, 286.20 and 183.20 is: 276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.60 : 286.20 = 183.20 : x
  2. Step 2: Convert to fraction form
    189.60/286.20 = 183.20/x
  3. Step 3: Cross multiply
    189.60x = 286.20 × 183.20
  4. Step 4: Simplify right side
    189.60x = 52,431.84
  5. Step 5: Solve for x
    x = 52,431.84/189.60
  6. Step 6: Final answer
    x = 276.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.