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Finding the Fourth Proportional to 228.22, 312.46 and 225.99

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Solution

The fourth proportional to 228.22, 312.46 and 225.99 is: 309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.22 : 312.46 = 225.99 : x
  2. Step 2: Convert to fraction form
    228.22/312.46 = 225.99/x
  3. Step 3: Cross multiply
    228.22x = 312.46 × 225.99
  4. Step 4: Simplify right side
    228.22x = 70,612.27
  5. Step 5: Solve for x
    x = 70,612.27/228.22
  6. Step 6: Final answer
    x = 309.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.