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Finding the Fourth Proportional to 399.34, 594.31 and 398.12

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Solution

The fourth proportional to 399.34, 594.31 and 398.12 is: 592.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.34 : 594.31 = 398.12 : x
  2. Step 2: Convert to fraction form
    399.34/594.31 = 398.12/x
  3. Step 3: Cross multiply
    399.34x = 594.31 × 398.12
  4. Step 4: Simplify right side
    399.34x = 236,606.70
  5. Step 5: Solve for x
    x = 236,606.70/399.34
  6. Step 6: Final answer
    x = 592.49

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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.