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Finding the Fourth Proportional to 389.30, 581.39 and 338.10

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Solution

The fourth proportional to 389.30, 581.39 and 338.10 is: 504.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.30 : 581.39 = 338.10 : x
  2. Step 2: Convert to fraction form
    389.30/581.39 = 338.10/x
  3. Step 3: Cross multiply
    389.30x = 581.39 × 338.10
  4. Step 4: Simplify right side
    389.30x = 196,567.96
  5. Step 5: Solve for x
    x = 196,567.96/389.30
  6. Step 6: Final answer
    x = 504.93

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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.