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Finding the Fourth Proportional to 228, 316.15 and 220.30

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Solution

The fourth proportional to 228, 316.15 and 220.30 is: 305.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228 : 316.15 = 220.30 : x
  2. Step 2: Convert to fraction form
    228/316.15 = 220.30/x
  3. Step 3: Cross multiply
    228x = 316.15 × 220.30
  4. Step 4: Simplify right side
    228x = 69,647.85
  5. Step 5: Solve for x
    x = 69,647.85/228
  6. Step 6: Final answer
    x = 305.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.