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Finding the Fourth Proportional to 220.37, 328.62 and 204.98

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Solution

The fourth proportional to 220.37, 328.62 and 204.98 is: 305.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.37 : 328.62 = 204.98 : x
  2. Step 2: Convert to fraction form
    220.37/328.62 = 204.98/x
  3. Step 3: Cross multiply
    220.37x = 328.62 × 204.98
  4. Step 4: Simplify right side
    220.37x = 67,359.50
  5. Step 5: Solve for x
    x = 67,359.50/220.37
  6. Step 6: Final answer
    x = 305.67

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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.