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Finding the Fourth Proportional to 189.40, 262.14 and 184.60

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Solution

The fourth proportional to 189.40, 262.14 and 184.60 is: 255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.40 : 262.14 = 184.60 : x
  2. Step 2: Convert to fraction form
    189.40/262.14 = 184.60/x
  3. Step 3: Cross multiply
    189.40x = 262.14 × 184.60
  4. Step 4: Simplify right side
    189.40x = 48,391.04
  5. Step 5: Solve for x
    x = 48,391.04/189.40
  6. Step 6: Final answer
    x = 255.50

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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.