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Finding the Fourth Proportional to 312.86, 468.83 and 221.74

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Solution

The fourth proportional to 312.86, 468.83 and 221.74 is: 332.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.86 : 468.83 = 221.74 : x
  2. Step 2: Convert to fraction form
    312.86/468.83 = 221.74/x
  3. Step 3: Cross multiply
    312.86x = 468.83 × 221.74
  4. Step 4: Simplify right side
    312.86x = 103,958.36
  5. Step 5: Solve for x
    x = 103,958.36/312.86
  6. Step 6: Final answer
    x = 332.28

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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.