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Finding the Fourth Proportional to 382.56, 572.85 and 325.14

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Solution

The fourth proportional to 382.56, 572.85 and 325.14 is: 486.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.56 : 572.85 = 325.14 : x
  2. Step 2: Convert to fraction form
    382.56/572.85 = 325.14/x
  3. Step 3: Cross multiply
    382.56x = 572.85 × 325.14
  4. Step 4: Simplify right side
    382.56x = 186,256.45
  5. Step 5: Solve for x
    x = 186,256.45/382.56
  6. Step 6: Final answer
    x = 486.87

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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.