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Finding the Fourth Proportional to 380.96, 567.77 and 380.35

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Solution

The fourth proportional to 380.96, 567.77 and 380.35 is: 566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.96 : 567.77 = 380.35 : x
  2. Step 2: Convert to fraction form
    380.96/567.77 = 380.35/x
  3. Step 3: Cross multiply
    380.96x = 567.77 × 380.35
  4. Step 4: Simplify right side
    380.96x = 215,950.85
  5. Step 5: Solve for x
    x = 215,950.85/380.96
  6. Step 6: Final answer
    x = 566.87

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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.