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Finding the Fourth Proportional to 391.31, 540.01 and 216.67

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Solution

The fourth proportional to 391.31, 540.01 and 216.67 is: 299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.31 : 540.01 = 216.67 : x
  2. Step 2: Convert to fraction form
    391.31/540.01 = 216.67/x
  3. Step 3: Cross multiply
    391.31x = 540.01 × 216.67
  4. Step 4: Simplify right side
    391.31x = 117,002.89
  5. Step 5: Solve for x
    x = 117,002.89/391.31
  6. Step 6: Final answer
    x = 299.00

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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.