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Finding the Fourth Proportional to 479.50, 719.70 and 219.64

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Solution

The fourth proportional to 479.50, 719.70 and 219.64 is: 329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.50 : 719.70 = 219.64 : x
  2. Step 2: Convert to fraction form
    479.50/719.70 = 219.64/x
  3. Step 3: Cross multiply
    479.50x = 719.70 × 219.64
  4. Step 4: Simplify right side
    479.50x = 158,074.91
  5. Step 5: Solve for x
    x = 158,074.91/479.50
  6. Step 6: Final answer
    x = 329.67

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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.