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Finding the Fourth Proportional to 381.44, 526.22 and 224.04

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Solution

The fourth proportional to 381.44, 526.22 and 224.04 is: 309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.44 : 526.22 = 224.04 : x
  2. Step 2: Convert to fraction form
    381.44/526.22 = 224.04/x
  3. Step 3: Cross multiply
    381.44x = 526.22 × 224.04
  4. Step 4: Simplify right side
    381.44x = 117,894.33
  5. Step 5: Solve for x
    x = 117,894.33/381.44
  6. Step 6: Final answer
    x = 309.08

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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.