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Finding the Fourth Proportional to 398.34, 594.15 and 386.19

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Solution

The fourth proportional to 398.34, 594.15 and 386.19 is: 576.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.34 : 594.15 = 386.19 : x
  2. Step 2: Convert to fraction form
    398.34/594.15 = 386.19/x
  3. Step 3: Cross multiply
    398.34x = 594.15 × 386.19
  4. Step 4: Simplify right side
    398.34x = 229,454.79
  5. Step 5: Solve for x
    x = 229,454.79/398.34
  6. Step 6: Final answer
    x = 576.03

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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.