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Finding the Fourth Proportional to 312.26, 468.55 and 221.54

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Solution

The fourth proportional to 312.26, 468.55 and 221.54 is: 332.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.26 : 468.55 = 221.54 : x
  2. Step 2: Convert to fraction form
    312.26/468.55 = 221.54/x
  3. Step 3: Cross multiply
    312.26x = 468.55 × 221.54
  4. Step 4: Simplify right side
    312.26x = 103,800.50
  5. Step 5: Solve for x
    x = 103,800.50/312.26
  6. Step 6: Final answer
    x = 332.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.