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Finding the Fourth Proportional to 383.09, 577.79 and 370.78

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Solution

The fourth proportional to 383.09, 577.79 and 370.78 is: 559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.09 : 577.79 = 370.78 : x
  2. Step 2: Convert to fraction form
    383.09/577.79 = 370.78/x
  3. Step 3: Cross multiply
    383.09x = 577.79 × 370.78
  4. Step 4: Simplify right side
    383.09x = 214,232.98
  5. Step 5: Solve for x
    x = 214,232.98/383.09
  6. Step 6: Final answer
    x = 559.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.