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Finding the Fourth Proportional to 386.44, 578.75 and 341.48

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Solution

The fourth proportional to 386.44, 578.75 and 341.48 is: 511.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.44 : 578.75 = 341.48 : x
  2. Step 2: Convert to fraction form
    386.44/578.75 = 341.48/x
  3. Step 3: Cross multiply
    386.44x = 578.75 × 341.48
  4. Step 4: Simplify right side
    386.44x = 197,631.29
  5. Step 5: Solve for x
    x = 197,631.29/386.44
  6. Step 6: Final answer
    x = 511.42

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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.