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Finding the Fourth Proportional to 224.52, 311.46 and 208.32

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Solution

The fourth proportional to 224.52, 311.46 and 208.32 is: 288.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.52 : 311.46 = 208.32 : x
  2. Step 2: Convert to fraction form
    224.52/311.46 = 208.32/x
  3. Step 3: Cross multiply
    224.52x = 311.46 × 208.32
  4. Step 4: Simplify right side
    224.52x = 64,883.35
  5. Step 5: Solve for x
    x = 64,883.35/224.52
  6. Step 6: Final answer
    x = 288.99

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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.