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Finding the Fourth Proportional to 224.25, 309.68 and 166.34

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Solution

The fourth proportional to 224.25, 309.68 and 166.34 is: 229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.25 : 309.68 = 166.34 : x
  2. Step 2: Convert to fraction form
    224.25/309.68 = 166.34/x
  3. Step 3: Cross multiply
    224.25x = 309.68 × 166.34
  4. Step 4: Simplify right side
    224.25x = 51,509.79
  5. Step 5: Solve for x
    x = 51,509.79/224.25
  6. Step 6: Final answer
    x = 229.70

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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.