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Finding the Fourth Proportional to 224.55, 309.92 and 209.91

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Solution

The fourth proportional to 224.55, 309.92 and 209.91 is: 289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.55 : 309.92 = 209.91 : x
  2. Step 2: Convert to fraction form
    224.55/309.92 = 209.91/x
  3. Step 3: Cross multiply
    224.55x = 309.92 × 209.91
  4. Step 4: Simplify right side
    224.55x = 65,054.26
  5. Step 5: Solve for x
    x = 65,054.26/224.55
  6. Step 6: Final answer
    x = 289.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.