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Finding the Fourth Proportional to 395.68, 594.14 and 389.92

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Solution

The fourth proportional to 395.68, 594.14 and 389.92 is: 585.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.68 : 594.14 = 389.92 : x
  2. Step 2: Convert to fraction form
    395.68/594.14 = 389.92/x
  3. Step 3: Cross multiply
    395.68x = 594.14 × 389.92
  4. Step 4: Simplify right side
    395.68x = 231,667.07
  5. Step 5: Solve for x
    x = 231,667.07/395.68
  6. Step 6: Final answer
    x = 585.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.