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Finding the Fourth Proportional to 383.73, 574.99 and 210.39

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Solution

The fourth proportional to 383.73, 574.99 and 210.39 is: 315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.73 : 574.99 = 210.39 : x
  2. Step 2: Convert to fraction form
    383.73/574.99 = 210.39/x
  3. Step 3: Cross multiply
    383.73x = 574.99 × 210.39
  4. Step 4: Simplify right side
    383.73x = 120,971.62
  5. Step 5: Solve for x
    x = 120,971.62/383.73
  6. Step 6: Final answer
    x = 315.25

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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.