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Finding the Fourth Proportional to 189.60, 262.16 and 165.30

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Solution

The fourth proportional to 189.60, 262.16 and 165.30 is: 228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.60 : 262.16 = 165.30 : x
  2. Step 2: Convert to fraction form
    189.60/262.16 = 165.30/x
  3. Step 3: Cross multiply
    189.60x = 262.16 × 165.30
  4. Step 4: Simplify right side
    189.60x = 43,335.05
  5. Step 5: Solve for x
    x = 43,335.05/189.60
  6. Step 6: Final answer
    x = 228.56

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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.