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Finding the Fourth Proportional to 374.44, 517.06 and 234.80

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Solution

The fourth proportional to 374.44, 517.06 and 234.80 is: 324.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.44 : 517.06 = 234.80 : x
  2. Step 2: Convert to fraction form
    374.44/517.06 = 234.80/x
  3. Step 3: Cross multiply
    374.44x = 517.06 × 234.80
  4. Step 4: Simplify right side
    374.44x = 121,404.01
  5. Step 5: Solve for x
    x = 121,404.01/374.44
  6. Step 6: Final answer
    x = 324.23

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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.