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Finding the Fourth Proportional to 395.88, 591.07 and 349.71

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Solution

The fourth proportional to 395.88, 591.07 and 349.71 is: 522.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.88 : 591.07 = 349.71 : x
  2. Step 2: Convert to fraction form
    395.88/591.07 = 349.71/x
  3. Step 3: Cross multiply
    395.88x = 591.07 × 349.71
  4. Step 4: Simplify right side
    395.88x = 206,703.09
  5. Step 5: Solve for x
    x = 206,703.09/395.88
  6. Step 6: Final answer
    x = 522.14

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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.