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Finding the Fourth Proportional to 386.45, 578.53 and 249.09

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Solution

The fourth proportional to 386.45, 578.53 and 249.09 is: 372.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.45 : 578.53 = 249.09 : x
  2. Step 2: Convert to fraction form
    386.45/578.53 = 249.09/x
  3. Step 3: Cross multiply
    386.45x = 578.53 × 249.09
  4. Step 4: Simplify right side
    386.45x = 144,104.79
  5. Step 5: Solve for x
    x = 144,104.79/386.45
  6. Step 6: Final answer
    x = 372.89

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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.