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Finding the Fourth Proportional to 381.18, 569.19 and 299.10

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Solution

The fourth proportional to 381.18, 569.19 and 299.10 is: 446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.18 : 569.19 = 299.10 : x
  2. Step 2: Convert to fraction form
    381.18/569.19 = 299.10/x
  3. Step 3: Cross multiply
    381.18x = 569.19 × 299.10
  4. Step 4: Simplify right side
    381.18x = 170,244.73
  5. Step 5: Solve for x
    x = 170,244.73/381.18
  6. Step 6: Final answer
    x = 446.63

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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.