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Finding the Fourth Proportional to 382.40, 571.60 and 296

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Solution

The fourth proportional to 382.40, 571.60 and 296 is: 442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.40 : 571.60 = 296 : x
  2. Step 2: Convert to fraction form
    382.40/571.60 = 296/x
  3. Step 3: Cross multiply
    382.40x = 571.60 × 296
  4. Step 4: Simplify right side
    382.40x = 169,193.60
  5. Step 5: Solve for x
    x = 169,193.60/382.40
  6. Step 6: Final answer
    x = 442.45

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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.