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Finding the Fourth Proportional to 382.59, 576.14 and 275.13

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Solution

The fourth proportional to 382.59, 576.14 and 275.13 is: 414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.59 : 576.14 = 275.13 : x
  2. Step 2: Convert to fraction form
    382.59/576.14 = 275.13/x
  3. Step 3: Cross multiply
    382.59x = 576.14 × 275.13
  4. Step 4: Simplify right side
    382.59x = 158,512.02
  5. Step 5: Solve for x
    x = 158,512.02/382.59
  6. Step 6: Final answer
    x = 414.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.