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Finding the Fourth Proportional to 334.42, 499.57 and 282.82

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Solution

The fourth proportional to 334.42, 499.57 and 282.82 is: 422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.42 : 499.57 = 282.82 : x
  2. Step 2: Convert to fraction form
    334.42/499.57 = 282.82/x
  3. Step 3: Cross multiply
    334.42x = 499.57 × 282.82
  4. Step 4: Simplify right side
    334.42x = 141,286.97
  5. Step 5: Solve for x
    x = 141,286.97/334.42
  6. Step 6: Final answer
    x = 422.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.