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Finding the Fourth Proportional to 263.96, 364.36 and 165.74

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Solution

The fourth proportional to 263.96, 364.36 and 165.74 is: 228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.96 : 364.36 = 165.74 : x
  2. Step 2: Convert to fraction form
    263.96/364.36 = 165.74/x
  3. Step 3: Cross multiply
    263.96x = 364.36 × 165.74
  4. Step 4: Simplify right side
    263.96x = 60,389.03
  5. Step 5: Solve for x
    x = 60,389.03/263.96
  6. Step 6: Final answer
    x = 228.78

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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.