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Finding the Fourth Proportional to 262.12, 391.26 and 228.12

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Solution

The fourth proportional to 262.12, 391.26 and 228.12 is: 340.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.12 : 391.26 = 228.12 : x
  2. Step 2: Convert to fraction form
    262.12/391.26 = 228.12/x
  3. Step 3: Cross multiply
    262.12x = 391.26 × 228.12
  4. Step 4: Simplify right side
    262.12x = 89,254.23
  5. Step 5: Solve for x
    x = 89,254.23/262.12
  6. Step 6: Final answer
    x = 340.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.