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Finding the Fourth Proportional to 228.98, 313.26 and 228

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Solution

The fourth proportional to 228.98, 313.26 and 228 is: 311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.98 : 313.26 = 228 : x
  2. Step 2: Convert to fraction form
    228.98/313.26 = 228/x
  3. Step 3: Cross multiply
    228.98x = 313.26 × 228
  4. Step 4: Simplify right side
    228.98x = 71,423.28
  5. Step 5: Solve for x
    x = 71,423.28/228.98
  6. Step 6: Final answer
    x = 311.93

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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.