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Finding the Fourth Proportional to 224.82, 307.89 and 224.62

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Solution

The fourth proportional to 224.82, 307.89 and 224.62 is: 307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.82 : 307.89 = 224.62 : x
  2. Step 2: Convert to fraction form
    224.82/307.89 = 224.62/x
  3. Step 3: Cross multiply
    224.82x = 307.89 × 224.62
  4. Step 4: Simplify right side
    224.82x = 69,157.48
  5. Step 5: Solve for x
    x = 69,157.48/224.82
  6. Step 6: Final answer
    x = 307.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.