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Finding the Fourth Proportional to 382.50, 571.02 and 330.90

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Solution

The fourth proportional to 382.50, 571.02 and 330.90 is: 493.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.50 : 571.02 = 330.90 : x
  2. Step 2: Convert to fraction form
    382.50/571.02 = 330.90/x
  3. Step 3: Cross multiply
    382.50x = 571.02 × 330.90
  4. Step 4: Simplify right side
    382.50x = 188,950.52
  5. Step 5: Solve for x
    x = 188,950.52/382.50
  6. Step 6: Final answer
    x = 493.99

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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.