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Finding the Fourth Proportional to 265.21, 365.96 and 165.62

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Solution

The fourth proportional to 265.21, 365.96 and 165.62 is: 228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.21 : 365.96 = 165.62 : x
  2. Step 2: Convert to fraction form
    265.21/365.96 = 165.62/x
  3. Step 3: Cross multiply
    265.21x = 365.96 × 165.62
  4. Step 4: Simplify right side
    265.21x = 60,610.30
  5. Step 5: Solve for x
    x = 60,610.30/265.21
  6. Step 6: Final answer
    x = 228.54

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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.