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Finding the Fourth Proportional to 381.92, 526.89 and 293.42

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Solution

The fourth proportional to 381.92, 526.89 and 293.42 is: 404.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.92 : 526.89 = 293.42 : x
  2. Step 2: Convert to fraction form
    381.92/526.89 = 293.42/x
  3. Step 3: Cross multiply
    381.92x = 526.89 × 293.42
  4. Step 4: Simplify right side
    381.92x = 154,597.43
  5. Step 5: Solve for x
    x = 154,597.43/381.92
  6. Step 6: Final answer
    x = 404.80

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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.