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Finding the Fourth Proportional to 375.80, 517.89 and 282.31

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Solution

The fourth proportional to 375.80, 517.89 and 282.31 is: 389.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.80 : 517.89 = 282.31 : x
  2. Step 2: Convert to fraction form
    375.80/517.89 = 282.31/x
  3. Step 3: Cross multiply
    375.80x = 517.89 × 282.31
  4. Step 4: Simplify right side
    375.80x = 146,205.53
  5. Step 5: Solve for x
    x = 146,205.53/375.80
  6. Step 6: Final answer
    x = 389.05

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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.