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Finding the Fourth Proportional to 224.12, 308.99 and 154.05

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Solution

The fourth proportional to 224.12, 308.99 and 154.05 is: 212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.12 : 308.99 = 154.05 : x
  2. Step 2: Convert to fraction form
    224.12/308.99 = 154.05/x
  3. Step 3: Cross multiply
    224.12x = 308.99 × 154.05
  4. Step 4: Simplify right side
    224.12x = 47,599.91
  5. Step 5: Solve for x
    x = 47,599.91/224.12
  6. Step 6: Final answer
    x = 212.39

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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.