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Finding the Fourth Proportional to 383.92, 571.68 and 370.08

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Solution

The fourth proportional to 383.92, 571.68 and 370.08 is: 551.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.92 : 571.68 = 370.08 : x
  2. Step 2: Convert to fraction form
    383.92/571.68 = 370.08/x
  3. Step 3: Cross multiply
    383.92x = 571.68 × 370.08
  4. Step 4: Simplify right side
    383.92x = 211,567.33
  5. Step 5: Solve for x
    x = 211,567.33/383.92
  6. Step 6: Final answer
    x = 551.07

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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.