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Finding the Fourth Proportional to 398.80, 594.92 and 392.08

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Solution

The fourth proportional to 398.80, 594.92 and 392.08 is: 584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.80 : 594.92 = 392.08 : x
  2. Step 2: Convert to fraction form
    398.80/594.92 = 392.08/x
  3. Step 3: Cross multiply
    398.80x = 594.92 × 392.08
  4. Step 4: Simplify right side
    398.80x = 233,256.23
  5. Step 5: Solve for x
    x = 233,256.23/398.80
  6. Step 6: Final answer
    x = 584.90

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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.