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Finding the Fourth Proportional to 380.37, 524.81 and 222.92

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Solution

The fourth proportional to 380.37, 524.81 and 222.92 is: 307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.37 : 524.81 = 222.92 : x
  2. Step 2: Convert to fraction form
    380.37/524.81 = 222.92/x
  3. Step 3: Cross multiply
    380.37x = 524.81 × 222.92
  4. Step 4: Simplify right side
    380.37x = 116,986.91
  5. Step 5: Solve for x
    x = 116,986.91/380.37
  6. Step 6: Final answer
    x = 307.56

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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.