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Finding the Fourth Proportional to 382.05, 527.03 and 299.13

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Solution

The fourth proportional to 382.05, 527.03 and 299.13 is: 412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.05 : 527.03 = 299.13 : x
  2. Step 2: Convert to fraction form
    382.05/527.03 = 299.13/x
  3. Step 3: Cross multiply
    382.05x = 527.03 × 299.13
  4. Step 4: Simplify right side
    382.05x = 157,648.99
  5. Step 5: Solve for x
    x = 157,648.99/382.05
  6. Step 6: Final answer
    x = 412.64

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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.