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Finding the Fourth Proportional to 391.64, 540.47 and 225.85

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Solution

The fourth proportional to 391.64, 540.47 and 225.85 is: 311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.64 : 540.47 = 225.85 : x
  2. Step 2: Convert to fraction form
    391.64/540.47 = 225.85/x
  3. Step 3: Cross multiply
    391.64x = 540.47 × 225.85
  4. Step 4: Simplify right side
    391.64x = 122,066.71
  5. Step 5: Solve for x
    x = 122,066.71/391.64
  6. Step 6: Final answer
    x = 311.68

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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.