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Finding the Fourth Proportional to 334.62, 499.86 and 282.72

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Solution

The fourth proportional to 334.62, 499.86 and 282.72 is: 422.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.62 : 499.86 = 282.72 : x
  2. Step 2: Convert to fraction form
    334.62/499.86 = 282.72/x
  3. Step 3: Cross multiply
    334.62x = 499.86 × 282.72
  4. Step 4: Simplify right side
    334.62x = 141,320.42
  5. Step 5: Solve for x
    x = 141,320.42/334.62
  6. Step 6: Final answer
    x = 422.33

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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.