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Finding the Fourth Proportional to 375.35, 517.84 and 235.41

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Solution

The fourth proportional to 375.35, 517.84 and 235.41 is: 324.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.35 : 517.84 = 235.41 : x
  2. Step 2: Convert to fraction form
    375.35/517.84 = 235.41/x
  3. Step 3: Cross multiply
    375.35x = 517.84 × 235.41
  4. Step 4: Simplify right side
    375.35x = 121,904.71
  5. Step 5: Solve for x
    x = 121,904.71/375.35
  6. Step 6: Final answer
    x = 324.78

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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.