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Finding the Fourth Proportional to 382.50, 526.69 and 327.12

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Solution

The fourth proportional to 382.50, 526.69 and 327.12 is: 450.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.50 : 526.69 = 327.12 : x
  2. Step 2: Convert to fraction form
    382.50/526.69 = 327.12/x
  3. Step 3: Cross multiply
    382.50x = 526.69 × 327.12
  4. Step 4: Simplify right side
    382.50x = 172,289.27
  5. Step 5: Solve for x
    x = 172,289.27/382.50
  6. Step 6: Final answer
    x = 450.43

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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.