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Finding the Fourth Proportional to 391.73, 540.63 and 267.50

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Solution

The fourth proportional to 391.73, 540.63 and 267.50 is: 369.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.73 : 540.63 = 267.50 : x
  2. Step 2: Convert to fraction form
    391.73/540.63 = 267.50/x
  3. Step 3: Cross multiply
    391.73x = 540.63 × 267.50
  4. Step 4: Simplify right side
    391.73x = 144,619.88
  5. Step 5: Solve for x
    x = 144,619.88/391.73
  6. Step 6: Final answer
    x = 369.19

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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.