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Finding the Fourth Proportional to 397.16, 599.27 and 382.76

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Solution

The fourth proportional to 397.16, 599.27 and 382.76 is: 577.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.16 : 599.27 = 382.76 : x
  2. Step 2: Convert to fraction form
    397.16/599.27 = 382.76/x
  3. Step 3: Cross multiply
    397.16x = 599.27 × 382.76
  4. Step 4: Simplify right side
    397.16x = 229,376.59
  5. Step 5: Solve for x
    x = 229,376.59/397.16
  6. Step 6: Final answer
    x = 577.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.