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Finding the Fourth Proportional to 228.54, 313.33 and 224.45

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Solution

The fourth proportional to 228.54, 313.33 and 224.45 is: 307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.54 : 313.33 = 224.45 : x
  2. Step 2: Convert to fraction form
    228.54/313.33 = 224.45/x
  3. Step 3: Cross multiply
    228.54x = 313.33 × 224.45
  4. Step 4: Simplify right side
    228.54x = 70,324.79
  5. Step 5: Solve for x
    x = 70,324.79/228.54
  6. Step 6: Final answer
    x = 307.71

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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.