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Finding the Fourth Proportional to 380.88, 567.84 and 339.60

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Solution

The fourth proportional to 380.88, 567.84 and 339.60 is: 506.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.88 : 567.84 = 339.60 : x
  2. Step 2: Convert to fraction form
    380.88/567.84 = 339.60/x
  3. Step 3: Cross multiply
    380.88x = 567.84 × 339.60
  4. Step 4: Simplify right side
    380.88x = 192,838.46
  5. Step 5: Solve for x
    x = 192,838.46/380.88
  6. Step 6: Final answer
    x = 506.30

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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.