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Finding the Fourth Proportional to 382.16, 573.12 and 138.72

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Solution

The fourth proportional to 382.16, 573.12 and 138.72 is: 208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.16 : 573.12 = 138.72 : x
  2. Step 2: Convert to fraction form
    382.16/573.12 = 138.72/x
  3. Step 3: Cross multiply
    382.16x = 573.12 × 138.72
  4. Step 4: Simplify right side
    382.16x = 79,503.21
  5. Step 5: Solve for x
    x = 79,503.21/382.16
  6. Step 6: Final answer
    x = 208.04

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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.