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Finding the Fourth Proportional to 395.27, 589.86 and 347.28

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Solution

The fourth proportional to 395.27, 589.86 and 347.28 is: 518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.27 : 589.86 = 347.28 : x
  2. Step 2: Convert to fraction form
    395.27/589.86 = 347.28/x
  3. Step 3: Cross multiply
    395.27x = 589.86 × 347.28
  4. Step 4: Simplify right side
    395.27x = 204,846.58
  5. Step 5: Solve for x
    x = 204,846.58/395.27
  6. Step 6: Final answer
    x = 518.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.