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Finding the Fourth Proportional to 381.34, 526.17 and 231.94

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Solution

The fourth proportional to 381.34, 526.17 and 231.94 is: 320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.34 : 526.17 = 231.94 : x
  2. Step 2: Convert to fraction form
    381.34/526.17 = 231.94/x
  3. Step 3: Cross multiply
    381.34x = 526.17 × 231.94
  4. Step 4: Simplify right side
    381.34x = 122,039.87
  5. Step 5: Solve for x
    x = 122,039.87/381.34
  6. Step 6: Final answer
    x = 320.03

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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.