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Finding the Fourth Proportional to 216.45, 320.67 and 208.35

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Solution

The fourth proportional to 216.45, 320.67 and 208.35 is: 308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.45 : 320.67 = 208.35 : x
  2. Step 2: Convert to fraction form
    216.45/320.67 = 208.35/x
  3. Step 3: Cross multiply
    216.45x = 320.67 × 208.35
  4. Step 4: Simplify right side
    216.45x = 66,811.59
  5. Step 5: Solve for x
    x = 66,811.59/216.45
  6. Step 6: Final answer
    x = 308.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.