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Finding the Fourth Proportional to 375.86, 517.91 and 349.91

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Solution

The fourth proportional to 375.86, 517.91 and 349.91 is: 482.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.86 : 517.91 = 349.91 : x
  2. Step 2: Convert to fraction form
    375.86/517.91 = 349.91/x
  3. Step 3: Cross multiply
    375.86x = 517.91 × 349.91
  4. Step 4: Simplify right side
    375.86x = 181,224.06
  5. Step 5: Solve for x
    x = 181,224.06/375.86
  6. Step 6: Final answer
    x = 482.16

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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.