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Finding the Fourth Proportional to 386.12, 578.06 and 229.48

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Solution

The fourth proportional to 386.12, 578.06 and 229.48 is: 343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.12 : 578.06 = 229.48 : x
  2. Step 2: Convert to fraction form
    386.12/578.06 = 229.48/x
  3. Step 3: Cross multiply
    386.12x = 578.06 × 229.48
  4. Step 4: Simplify right side
    386.12x = 132,653.21
  5. Step 5: Solve for x
    x = 132,653.21/386.12
  6. Step 6: Final answer
    x = 343.55

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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.