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Finding the Fourth Proportional to 383.08, 571.66 and 328.21

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Solution

The fourth proportional to 383.08, 571.66 and 328.21 is: 489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.08 : 571.66 = 328.21 : x
  2. Step 2: Convert to fraction form
    383.08/571.66 = 328.21/x
  3. Step 3: Cross multiply
    383.08x = 571.66 × 328.21
  4. Step 4: Simplify right side
    383.08x = 187,624.53
  5. Step 5: Solve for x
    x = 187,624.53/383.08
  6. Step 6: Final answer
    x = 489.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.