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Finding the Fourth Proportional to 391.20, 538.56 and 332.64

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Solution

The fourth proportional to 391.20, 538.56 and 332.64 is: 457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.20 : 538.56 = 332.64 : x
  2. Step 2: Convert to fraction form
    391.20/538.56 = 332.64/x
  3. Step 3: Cross multiply
    391.20x = 538.56 × 332.64
  4. Step 4: Simplify right side
    391.20x = 179,146.60
  5. Step 5: Solve for x
    x = 179,146.60/391.20
  6. Step 6: Final answer
    x = 457.94

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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.