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Finding the Fourth Proportional to 393.76, 588.32 and 380.15

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Solution

The fourth proportional to 393.76, 588.32 and 380.15 is: 567.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.76 : 588.32 = 380.15 : x
  2. Step 2: Convert to fraction form
    393.76/588.32 = 380.15/x
  3. Step 3: Cross multiply
    393.76x = 588.32 × 380.15
  4. Step 4: Simplify right side
    393.76x = 223,649.85
  5. Step 5: Solve for x
    x = 223,649.85/393.76
  6. Step 6: Final answer
    x = 567.99

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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.