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Finding the Fourth Proportional to 403.92, 606.42 and 393.12

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Solution

The fourth proportional to 403.92, 606.42 and 393.12 is: 590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.92 : 606.42 = 393.12 : x
  2. Step 2: Convert to fraction form
    403.92/606.42 = 393.12/x
  3. Step 3: Cross multiply
    403.92x = 606.42 × 393.12
  4. Step 4: Simplify right side
    403.92x = 238,395.83
  5. Step 5: Solve for x
    x = 238,395.83/403.92
  6. Step 6: Final answer
    x = 590.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.