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Finding the Fourth Proportional to 217.53, 323.50 and 210.69

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Solution

The fourth proportional to 217.53, 323.50 and 210.69 is: 313.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.53 : 323.50 = 210.69 : x
  2. Step 2: Convert to fraction form
    217.53/323.50 = 210.69/x
  3. Step 3: Cross multiply
    217.53x = 323.50 × 210.69
  4. Step 4: Simplify right side
    217.53x = 68,158.22
  5. Step 5: Solve for x
    x = 68,158.22/217.53
  6. Step 6: Final answer
    x = 313.33

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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.