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Finding the Fourth Proportional to 397.76, 591.76 and 382.40

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Solution

The fourth proportional to 397.76, 591.76 and 382.40 is: 568.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.76 : 591.76 = 382.40 : x
  2. Step 2: Convert to fraction form
    397.76/591.76 = 382.40/x
  3. Step 3: Cross multiply
    397.76x = 591.76 × 382.40
  4. Step 4: Simplify right side
    397.76x = 226,289.02
  5. Step 5: Solve for x
    x = 226,289.02/397.76
  6. Step 6: Final answer
    x = 568.91

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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.