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Finding the Fourth Proportional to 375.74, 517.31 and 291.50

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Solution

The fourth proportional to 375.74, 517.31 and 291.50 is: 401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.74 : 517.31 = 291.50 : x
  2. Step 2: Convert to fraction form
    375.74/517.31 = 291.50/x
  3. Step 3: Cross multiply
    375.74x = 517.31 × 291.50
  4. Step 4: Simplify right side
    375.74x = 150,791.82
  5. Step 5: Solve for x
    x = 150,791.82/375.74
  6. Step 6: Final answer
    x = 401.32

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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.