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Finding the Fourth Proportional to 334.82, 499.86 and 283.12

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Solution

The fourth proportional to 334.82, 499.86 and 283.12 is: 422.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.82 : 499.86 = 283.12 : x
  2. Step 2: Convert to fraction form
    334.82/499.86 = 283.12/x
  3. Step 3: Cross multiply
    334.82x = 499.86 × 283.12
  4. Step 4: Simplify right side
    334.82x = 141,519.11
  5. Step 5: Solve for x
    x = 141,519.11/334.82
  6. Step 6: Final answer
    x = 422.67

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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.