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Finding the Fourth Proportional to 380.05, 567.16 and 339.04

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Solution

The fourth proportional to 380.05, 567.16 and 339.04 is: 505.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.05 : 567.16 = 339.04 : x
  2. Step 2: Convert to fraction form
    380.05/567.16 = 339.04/x
  3. Step 3: Cross multiply
    380.05x = 567.16 × 339.04
  4. Step 4: Simplify right side
    380.05x = 192,287.09
  5. Step 5: Solve for x
    x = 192,287.09/380.05
  6. Step 6: Final answer
    x = 505.96

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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.