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Finding the Fourth Proportional to 183.60, 276.90 and 164.40

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Solution

The fourth proportional to 183.60, 276.90 and 164.40 is: 247.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.60 : 276.90 = 164.40 : x
  2. Step 2: Convert to fraction form
    183.60/276.90 = 164.40/x
  3. Step 3: Cross multiply
    183.60x = 276.90 × 164.40
  4. Step 4: Simplify right side
    183.60x = 45,522.36
  5. Step 5: Solve for x
    x = 45,522.36/183.60
  6. Step 6: Final answer
    x = 247.94

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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.