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Finding the Fourth Proportional to 376.49, 564.97 and 194.01

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Solution

The fourth proportional to 376.49, 564.97 and 194.01 is: 291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.49 : 564.97 = 194.01 : x
  2. Step 2: Convert to fraction form
    376.49/564.97 = 194.01/x
  3. Step 3: Cross multiply
    376.49x = 564.97 × 194.01
  4. Step 4: Simplify right side
    376.49x = 109,611.21
  5. Step 5: Solve for x
    x = 109,611.21/376.49
  6. Step 6: Final answer
    x = 291.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.