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Finding the Fourth Proportional to 434.21, 650.50 and 336.20

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Solution

The fourth proportional to 434.21, 650.50 and 336.20 is: 503.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.21 : 650.50 = 336.20 : x
  2. Step 2: Convert to fraction form
    434.21/650.50 = 336.20/x
  3. Step 3: Cross multiply
    434.21x = 650.50 × 336.20
  4. Step 4: Simplify right side
    434.21x = 218,694.01
  5. Step 5: Solve for x
    x = 218,694.01/434.21
  6. Step 6: Final answer
    x = 503.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.