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Finding the Fourth Proportional to 398.21, 593.75 and 392.13

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Solution

The fourth proportional to 398.21, 593.75 and 392.13 is: 584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.21 : 593.75 = 392.13 : x
  2. Step 2: Convert to fraction form
    398.21/593.75 = 392.13/x
  3. Step 3: Cross multiply
    398.21x = 593.75 × 392.13
  4. Step 4: Simplify right side
    398.21x = 232,825.23
  5. Step 5: Solve for x
    x = 232,825.23/398.21
  6. Step 6: Final answer
    x = 584.69

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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.