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Finding the Fourth Proportional to 382.47, 573.78 and 138.93

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Solution

The fourth proportional to 382.47, 573.78 and 138.93 is: 208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.47 : 573.78 = 138.93 : x
  2. Step 2: Convert to fraction form
    382.47/573.78 = 138.93/x
  3. Step 3: Cross multiply
    382.47x = 573.78 × 138.93
  4. Step 4: Simplify right side
    382.47x = 79,715.26
  5. Step 5: Solve for x
    x = 79,715.26/382.47
  6. Step 6: Final answer
    x = 208.42

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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.