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Finding the Fourth Proportional to 382.19, 573.33 and 138.74

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Solution

The fourth proportional to 382.19, 573.33 and 138.74 is: 208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.19 : 573.33 = 138.74 : x
  2. Step 2: Convert to fraction form
    382.19/573.33 = 138.74/x
  3. Step 3: Cross multiply
    382.19x = 573.33 × 138.74
  4. Step 4: Simplify right side
    382.19x = 79,543.80
  5. Step 5: Solve for x
    x = 79,543.80/382.19
  6. Step 6: Final answer
    x = 208.13

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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.