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Finding the Fourth Proportional to 382.13, 572.84 and 138.59

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Solution

The fourth proportional to 382.13, 572.84 and 138.59 is: 207.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.13 : 572.84 = 138.59 : x
  2. Step 2: Convert to fraction form
    382.13/572.84 = 138.59/x
  3. Step 3: Cross multiply
    382.13x = 572.84 × 138.59
  4. Step 4: Simplify right side
    382.13x = 79,392.23
  5. Step 5: Solve for x
    x = 79,392.23/382.13
  6. Step 6: Final answer
    x = 207.76

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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.