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Finding the Fourth Proportional to 393.16, 593.20 and 389.92

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Solution

The fourth proportional to 393.16, 593.20 and 389.92 is: 588.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.16 : 593.20 = 389.92 : x
  2. Step 2: Convert to fraction form
    393.16/593.20 = 389.92/x
  3. Step 3: Cross multiply
    393.16x = 593.20 × 389.92
  4. Step 4: Simplify right side
    393.16x = 231,300.54
  5. Step 5: Solve for x
    x = 231,300.54/393.16
  6. Step 6: Final answer
    x = 588.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.