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Finding the Fourth Proportional to 224.22, 309.52 and 165.90

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Solution

The fourth proportional to 224.22, 309.52 and 165.90 is: 229.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.22 : 309.52 = 165.90 : x
  2. Step 2: Convert to fraction form
    224.22/309.52 = 165.90/x
  3. Step 3: Cross multiply
    224.22x = 309.52 × 165.90
  4. Step 4: Simplify right side
    224.22x = 51,349.37
  5. Step 5: Solve for x
    x = 51,349.37/224.22
  6. Step 6: Final answer
    x = 229.01

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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.