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Finding the Fourth Proportional to 263.68, 364.32 and 221.62

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Solution

The fourth proportional to 263.68, 364.32 and 221.62 is: 306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.68 : 364.32 = 221.62 : x
  2. Step 2: Convert to fraction form
    263.68/364.32 = 221.62/x
  3. Step 3: Cross multiply
    263.68x = 364.32 × 221.62
  4. Step 4: Simplify right side
    263.68x = 80,740.60
  5. Step 5: Solve for x
    x = 80,740.60/263.68
  6. Step 6: Final answer
    x = 306.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.