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Finding the Fourth Proportional to 382.29, 527.57 and 216.50

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Solution

The fourth proportional to 382.29, 527.57 and 216.50 is: 298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.29 : 527.57 = 216.50 : x
  2. Step 2: Convert to fraction form
    382.29/527.57 = 216.50/x
  3. Step 3: Cross multiply
    382.29x = 527.57 × 216.50
  4. Step 4: Simplify right side
    382.29x = 114,215.18
  5. Step 5: Solve for x
    x = 114,215.18/382.29
  6. Step 6: Final answer
    x = 298.77

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