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Finding the Fourth Proportional to 380.61, 567.79 and 339.62

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Solution

The fourth proportional to 380.61, 567.79 and 339.62 is: 506.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.61 : 567.79 = 339.62 : x
  2. Step 2: Convert to fraction form
    380.61/567.79 = 339.62/x
  3. Step 3: Cross multiply
    380.61x = 567.79 × 339.62
  4. Step 4: Simplify right side
    380.61x = 192,829.15
  5. Step 5: Solve for x
    x = 192,829.15/380.61
  6. Step 6: Final answer
    x = 506.63

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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.