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Finding the Fourth Proportional to 262.10, 394.69 and 228.27

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Solution

The fourth proportional to 262.10, 394.69 and 228.27 is: 343.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.10 : 394.69 = 228.27 : x
  2. Step 2: Convert to fraction form
    262.10/394.69 = 228.27/x
  3. Step 3: Cross multiply
    262.10x = 394.69 × 228.27
  4. Step 4: Simplify right side
    262.10x = 90,095.00
  5. Step 5: Solve for x
    x = 90,095.00/262.10
  6. Step 6: Final answer
    x = 343.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.