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Finding the Fourth Proportional to 382.16, 573.33 and 138.69

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Solution

The fourth proportional to 382.16, 573.33 and 138.69 is: 208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.16 : 573.33 = 138.69 : x
  2. Step 2: Convert to fraction form
    382.16/573.33 = 138.69/x
  3. Step 3: Cross multiply
    382.16x = 573.33 × 138.69
  4. Step 4: Simplify right side
    382.16x = 79,515.14
  5. Step 5: Solve for x
    x = 79,515.14/382.16
  6. Step 6: Final answer
    x = 208.07

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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.