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Finding the Fourth Proportional to 380.40, 566.82 and 362.96

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Solution

The fourth proportional to 380.40, 566.82 and 362.96 is: 540.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.40 : 566.82 = 362.96 : x
  2. Step 2: Convert to fraction form
    380.40/566.82 = 362.96/x
  3. Step 3: Cross multiply
    380.40x = 566.82 × 362.96
  4. Step 4: Simplify right side
    380.40x = 205,732.99
  5. Step 5: Solve for x
    x = 205,732.99/380.40
  6. Step 6: Final answer
    x = 540.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.