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Finding the Fourth Proportional to 382.08, 570.36 and 369.24

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Solution

The fourth proportional to 382.08, 570.36 and 369.24 is: 551.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.08 : 570.36 = 369.24 : x
  2. Step 2: Convert to fraction form
    382.08/570.36 = 369.24/x
  3. Step 3: Cross multiply
    382.08x = 570.36 × 369.24
  4. Step 4: Simplify right side
    382.08x = 210,599.73
  5. Step 5: Solve for x
    x = 210,599.73/382.08
  6. Step 6: Final answer
    x = 551.19

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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.