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Finding the Fourth Proportional to 382.77, 527.49 and 303.84

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Solution

The fourth proportional to 382.77, 527.49 and 303.84 is: 418.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.77 : 527.49 = 303.84 : x
  2. Step 2: Convert to fraction form
    382.77/527.49 = 303.84/x
  3. Step 3: Cross multiply
    382.77x = 527.49 × 303.84
  4. Step 4: Simplify right side
    382.77x = 160,272.56
  5. Step 5: Solve for x
    x = 160,272.56/382.77
  6. Step 6: Final answer
    x = 418.72

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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.