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Finding the Fourth Proportional to 391.77, 540.64 and 217.11

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Solution

The fourth proportional to 391.77, 540.64 and 217.11 is: 299.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.77 : 540.64 = 217.11 : x
  2. Step 2: Convert to fraction form
    391.77/540.64 = 217.11/x
  3. Step 3: Cross multiply
    391.77x = 540.64 × 217.11
  4. Step 4: Simplify right side
    391.77x = 117,378.35
  5. Step 5: Solve for x
    x = 117,378.35/391.77
  6. Step 6: Final answer
    x = 299.61

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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.