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Finding the Fourth Proportional to 395.78, 544.52 and 343.16

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Solution

The fourth proportional to 395.78, 544.52 and 343.16 is: 472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.78 : 544.52 = 343.16 : x
  2. Step 2: Convert to fraction form
    395.78/544.52 = 343.16/x
  3. Step 3: Cross multiply
    395.78x = 544.52 × 343.16
  4. Step 4: Simplify right side
    395.78x = 186,857.48
  5. Step 5: Solve for x
    x = 186,857.48/395.78
  6. Step 6: Final answer
    x = 472.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.