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Finding the Fourth Proportional to 228.03, 312.96 and 228.03

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Solution

The fourth proportional to 228.03, 312.96 and 228.03 is: 312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.03 : 312.96 = 228.03 : x
  2. Step 2: Convert to fraction form
    228.03/312.96 = 228.03/x
  3. Step 3: Cross multiply
    228.03x = 312.96 × 228.03
  4. Step 4: Simplify right side
    228.03x = 71,364.27
  5. Step 5: Solve for x
    x = 71,364.27/228.03
  6. Step 6: Final answer
    x = 312.96

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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.