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Finding the Fourth Proportional to 218.02, 326.57 and 209.53

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Solution

The fourth proportional to 218.02, 326.57 and 209.53 is: 313.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.02 : 326.57 = 209.53 : x
  2. Step 2: Convert to fraction form
    218.02/326.57 = 209.53/x
  3. Step 3: Cross multiply
    218.02x = 326.57 × 209.53
  4. Step 4: Simplify right side
    218.02x = 68,426.23
  5. Step 5: Solve for x
    x = 68,426.23/218.02
  6. Step 6: Final answer
    x = 313.86

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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.