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Finding the Fourth Proportional to 393.66, 587.15 and 381.05

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Solution

The fourth proportional to 393.66, 587.15 and 381.05 is: 568.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.66 : 587.15 = 381.05 : x
  2. Step 2: Convert to fraction form
    393.66/587.15 = 381.05/x
  3. Step 3: Cross multiply
    393.66x = 587.15 × 381.05
  4. Step 4: Simplify right side
    393.66x = 223,735.60
  5. Step 5: Solve for x
    x = 223,735.60/393.66
  6. Step 6: Final answer
    x = 568.35

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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.