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Finding the Fourth Proportional to 398.96, 594.33 and 386.87

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Solution

The fourth proportional to 398.96, 594.33 and 386.87 is: 576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.96 : 594.33 = 386.87 : x
  2. Step 2: Convert to fraction form
    398.96/594.33 = 386.87/x
  3. Step 3: Cross multiply
    398.96x = 594.33 × 386.87
  4. Step 4: Simplify right side
    398.96x = 229,928.45
  5. Step 5: Solve for x
    x = 229,928.45/398.96
  6. Step 6: Final answer
    x = 576.32

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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.