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Finding the Fourth Proportional to 392.11, 585.09 and 389.83

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Solution

The fourth proportional to 392.11, 585.09 and 389.83 is: 581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.11 : 585.09 = 389.83 : x
  2. Step 2: Convert to fraction form
    392.11/585.09 = 389.83/x
  3. Step 3: Cross multiply
    392.11x = 585.09 × 389.83
  4. Step 4: Simplify right side
    392.11x = 228,080.76
  5. Step 5: Solve for x
    x = 228,080.76/392.11
  6. Step 6: Final answer
    x = 581.68

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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.