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Finding the Fourth Proportional to 382.38, 571.08 and 305.46

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Solution

The fourth proportional to 382.38, 571.08 and 305.46 is: 456.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.38 : 571.08 = 305.46 : x
  2. Step 2: Convert to fraction form
    382.38/571.08 = 305.46/x
  3. Step 3: Cross multiply
    382.38x = 571.08 × 305.46
  4. Step 4: Simplify right side
    382.38x = 174,442.10
  5. Step 5: Solve for x
    x = 174,442.10/382.38
  6. Step 6: Final answer
    x = 456.20

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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.