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Finding the Fourth Proportional to 376.41, 566.87 and 331.25

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Solution

The fourth proportional to 376.41, 566.87 and 331.25 is: 498.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.41 : 566.87 = 331.25 : x
  2. Step 2: Convert to fraction form
    376.41/566.87 = 331.25/x
  3. Step 3: Cross multiply
    376.41x = 566.87 × 331.25
  4. Step 4: Simplify right side
    376.41x = 187,777.93
  5. Step 5: Solve for x
    x = 187,777.93/376.41
  6. Step 6: Final answer
    x = 498.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.