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Finding the Fourth Proportional to 382.59, 571.79 and 279.18

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Solution

The fourth proportional to 382.59, 571.79 and 279.18 is: 417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.59 : 571.79 = 279.18 : x
  2. Step 2: Convert to fraction form
    382.59/571.79 = 279.18/x
  3. Step 3: Cross multiply
    382.59x = 571.79 × 279.18
  4. Step 4: Simplify right side
    382.59x = 159,630.94
  5. Step 5: Solve for x
    x = 159,630.94/382.59
  6. Step 6: Final answer
    x = 417.24

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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.