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Finding the Fourth Proportional to 382.76, 528.39 and 289.52

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Solution

The fourth proportional to 382.76, 528.39 and 289.52 is: 399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.76 : 528.39 = 289.52 : x
  2. Step 2: Convert to fraction form
    382.76/528.39 = 289.52/x
  3. Step 3: Cross multiply
    382.76x = 528.39 × 289.52
  4. Step 4: Simplify right side
    382.76x = 152,978.03
  5. Step 5: Solve for x
    x = 152,978.03/382.76
  6. Step 6: Final answer
    x = 399.67

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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.