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Finding the Fourth Proportional to 381.81, 526.28 and 276.90

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Solution

The fourth proportional to 381.81, 526.28 and 276.90 is: 381.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.81 : 526.28 = 276.90 : x
  2. Step 2: Convert to fraction form
    381.81/526.28 = 276.90/x
  3. Step 3: Cross multiply
    381.81x = 526.28 × 276.90
  4. Step 4: Simplify right side
    381.81x = 145,722.92
  5. Step 5: Solve for x
    x = 145,722.92/381.81
  6. Step 6: Final answer
    x = 381.67

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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.