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Finding the Fourth Proportional to 382.47, 573.36 and 138.95

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Solution

The fourth proportional to 382.47, 573.36 and 138.95 is: 208.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.47 : 573.36 = 138.95 : x
  2. Step 2: Convert to fraction form
    382.47/573.36 = 138.95/x
  3. Step 3: Cross multiply
    382.47x = 573.36 × 138.95
  4. Step 4: Simplify right side
    382.47x = 79,665.51
  5. Step 5: Solve for x
    x = 79,665.51/382.47
  6. Step 6: Final answer
    x = 208.29

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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.