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Finding the Fourth Proportional to 375.67, 518.45 and 207.63

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Solution

The fourth proportional to 375.67, 518.45 and 207.63 is: 286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.67 : 518.45 = 207.63 : x
  2. Step 2: Convert to fraction form
    375.67/518.45 = 207.63/x
  3. Step 3: Cross multiply
    375.67x = 518.45 × 207.63
  4. Step 4: Simplify right side
    375.67x = 107,645.77
  5. Step 5: Solve for x
    x = 107,645.77/375.67
  6. Step 6: Final answer
    x = 286.54

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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.