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Finding the Fourth Proportional to 216.83, 324.89 and 208.40

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Solution

The fourth proportional to 216.83, 324.89 and 208.40 is: 312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.83 : 324.89 = 208.40 : x
  2. Step 2: Convert to fraction form
    216.83/324.89 = 208.40/x
  3. Step 3: Cross multiply
    216.83x = 324.89 × 208.40
  4. Step 4: Simplify right side
    216.83x = 67,706.85
  5. Step 5: Solve for x
    x = 67,706.85/216.83
  6. Step 6: Final answer
    x = 312.25

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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.