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Finding the Fourth Proportional to 395.60, 590.48 and 347

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Solution

The fourth proportional to 395.60, 590.48 and 347 is: 517.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.60 : 590.48 = 347 : x
  2. Step 2: Convert to fraction form
    395.60/590.48 = 347/x
  3. Step 3: Cross multiply
    395.60x = 590.48 × 347
  4. Step 4: Simplify right side
    395.60x = 204,896.56
  5. Step 5: Solve for x
    x = 204,896.56/395.60
  6. Step 6: Final answer
    x = 517.94

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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.