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Finding the Fourth Proportional to 383, 527.88 and 327.74

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Solution

The fourth proportional to 383, 527.88 and 327.74 is: 451.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    383 : 527.88 = 327.74 : x
  2. Step 2: Convert to fraction form
    383/527.88 = 327.74/x
  3. Step 3: Cross multiply
    383x = 527.88 × 327.74
  4. Step 4: Simplify right side
    383x = 173,007.39
  5. Step 5: Solve for x
    x = 173,007.39/383
  6. Step 6: Final answer
    x = 451.72

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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.