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Finding the Fourth Proportional to 382.33, 527.08 and 315.71

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Solution

The fourth proportional to 382.33, 527.08 and 315.71 is: 435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.33 : 527.08 = 315.71 : x
  2. Step 2: Convert to fraction form
    382.33/527.08 = 315.71/x
  3. Step 3: Cross multiply
    382.33x = 527.08 × 315.71
  4. Step 4: Simplify right side
    382.33x = 166,404.43
  5. Step 5: Solve for x
    x = 166,404.43/382.33
  6. Step 6: Final answer
    x = 435.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.