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Finding the Fourth Proportional to 216.53, 300.20 and 209.02

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Solution

The fourth proportional to 216.53, 300.20 and 209.02 is: 289.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.53 : 300.20 = 209.02 : x
  2. Step 2: Convert to fraction form
    216.53/300.20 = 209.02/x
  3. Step 3: Cross multiply
    216.53x = 300.20 × 209.02
  4. Step 4: Simplify right side
    216.53x = 62,747.80
  5. Step 5: Solve for x
    x = 62,747.80/216.53
  6. Step 6: Final answer
    x = 289.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.