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Finding the Fourth Proportional to 382.58, 576.48 and 315.60

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Solution

The fourth proportional to 382.58, 576.48 and 315.60 is: 475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.58 : 576.48 = 315.60 : x
  2. Step 2: Convert to fraction form
    382.58/576.48 = 315.60/x
  3. Step 3: Cross multiply
    382.58x = 576.48 × 315.60
  4. Step 4: Simplify right side
    382.58x = 181,937.09
  5. Step 5: Solve for x
    x = 181,937.09/382.58
  6. Step 6: Final answer
    x = 475.56

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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.