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Finding the Fourth Proportional to 391.63, 540.45 and 216.98

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Solution

The fourth proportional to 391.63, 540.45 and 216.98 is: 299.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.63 : 540.45 = 216.98 : x
  2. Step 2: Convert to fraction form
    391.63/540.45 = 216.98/x
  3. Step 3: Cross multiply
    391.63x = 540.45 × 216.98
  4. Step 4: Simplify right side
    391.63x = 117,265.76
  5. Step 5: Solve for x
    x = 117,265.76/391.63
  6. Step 6: Final answer
    x = 299.43

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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.