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Finding the Fourth Proportional to 393.91, 587.96 and 361.45

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Solution

The fourth proportional to 393.91, 587.96 and 361.45 is: 539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.91 : 587.96 = 361.45 : x
  2. Step 2: Convert to fraction form
    393.91/587.96 = 361.45/x
  3. Step 3: Cross multiply
    393.91x = 587.96 × 361.45
  4. Step 4: Simplify right side
    393.91x = 212,518.14
  5. Step 5: Solve for x
    x = 212,518.14/393.91
  6. Step 6: Final answer
    x = 539.51

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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.