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Finding the Fourth Proportional to 399.12, 594.77 and 386.07

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Solution

The fourth proportional to 399.12, 594.77 and 386.07 is: 575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.12 : 594.77 = 386.07 : x
  2. Step 2: Convert to fraction form
    399.12/594.77 = 386.07/x
  3. Step 3: Cross multiply
    399.12x = 594.77 × 386.07
  4. Step 4: Simplify right side
    399.12x = 229,620.92
  5. Step 5: Solve for x
    x = 229,620.92/399.12
  6. Step 6: Final answer
    x = 575.32

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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.