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Finding the Fourth Proportional to 394.64, 547.88 and 382.76

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Solution

The fourth proportional to 394.64, 547.88 and 382.76 is: 531.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.64 : 547.88 = 382.76 : x
  2. Step 2: Convert to fraction form
    394.64/547.88 = 382.76/x
  3. Step 3: Cross multiply
    394.64x = 547.88 × 382.76
  4. Step 4: Simplify right side
    394.64x = 209,706.55
  5. Step 5: Solve for x
    x = 209,706.55/394.64
  6. Step 6: Final answer
    x = 531.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.