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Finding the Fourth Proportional to 380.12, 568.64 and 329.32

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Solution

The fourth proportional to 380.12, 568.64 and 329.32 is: 492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.12 : 568.64 = 329.32 : x
  2. Step 2: Convert to fraction form
    380.12/568.64 = 329.32/x
  3. Step 3: Cross multiply
    380.12x = 568.64 × 329.32
  4. Step 4: Simplify right side
    380.12x = 187,264.52
  5. Step 5: Solve for x
    x = 187,264.52/380.12
  6. Step 6: Final answer
    x = 492.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.