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Finding the Fourth Proportional to 382.61, 571.68 and 283.36

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Solution

The fourth proportional to 382.61, 571.68 and 283.36 is: 423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.61 : 571.68 = 283.36 : x
  2. Step 2: Convert to fraction form
    382.61/571.68 = 283.36/x
  3. Step 3: Cross multiply
    382.61x = 571.68 × 283.36
  4. Step 4: Simplify right side
    382.61x = 161,991.24
  5. Step 5: Solve for x
    x = 161,991.24/382.61
  6. Step 6: Final answer
    x = 423.38

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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.