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Finding the Fourth Proportional to 265.54, 366.42 and 165.81

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Solution

The fourth proportional to 265.54, 366.42 and 165.81 is: 228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.54 : 366.42 = 165.81 : x
  2. Step 2: Convert to fraction form
    265.54/366.42 = 165.81/x
  3. Step 3: Cross multiply
    265.54x = 366.42 × 165.81
  4. Step 4: Simplify right side
    265.54x = 60,755.27
  5. Step 5: Solve for x
    x = 60,755.27/265.54
  6. Step 6: Final answer
    x = 228.80

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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.