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Finding the Fourth Proportional to 382.25, 527.55 and 334.55

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Solution

The fourth proportional to 382.25, 527.55 and 334.55 is: 461.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.25 : 527.55 = 334.55 : x
  2. Step 2: Convert to fraction form
    382.25/527.55 = 334.55/x
  3. Step 3: Cross multiply
    382.25x = 527.55 × 334.55
  4. Step 4: Simplify right side
    382.25x = 176,491.85
  5. Step 5: Solve for x
    x = 176,491.85/382.25
  6. Step 6: Final answer
    x = 461.72

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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.