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Finding the Fourth Proportional to 385.96, 574.20 and 382.56

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Solution

The fourth proportional to 385.96, 574.20 and 382.56 is: 569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.96 : 574.20 = 382.56 : x
  2. Step 2: Convert to fraction form
    385.96/574.20 = 382.56/x
  3. Step 3: Cross multiply
    385.96x = 574.20 × 382.56
  4. Step 4: Simplify right side
    385.96x = 219,665.95
  5. Step 5: Solve for x
    x = 219,665.95/385.96
  6. Step 6: Final answer
    x = 569.14

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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.