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Finding the Fourth Proportional to 382.20, 572.63 and 369.51

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Solution

The fourth proportional to 382.20, 572.63 and 369.51 is: 553.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.20 : 572.63 = 369.51 : x
  2. Step 2: Convert to fraction form
    382.20/572.63 = 369.51/x
  3. Step 3: Cross multiply
    382.20x = 572.63 × 369.51
  4. Step 4: Simplify right side
    382.20x = 211,590.66
  5. Step 5: Solve for x
    x = 211,590.66/382.20
  6. Step 6: Final answer
    x = 553.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.