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Finding the Fourth Proportional to 379.96, 524.48 and 222.64

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Solution

The fourth proportional to 379.96, 524.48 and 222.64 is: 307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.96 : 524.48 = 222.64 : x
  2. Step 2: Convert to fraction form
    379.96/524.48 = 222.64/x
  3. Step 3: Cross multiply
    379.96x = 524.48 × 222.64
  4. Step 4: Simplify right side
    379.96x = 116,770.43
  5. Step 5: Solve for x
    x = 116,770.43/379.96
  6. Step 6: Final answer
    x = 307.32

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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.