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Finding the Fourth Proportional to 224.13, 309.09 and 154.07

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Solution

The fourth proportional to 224.13, 309.09 and 154.07 is: 212.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.13 : 309.09 = 154.07 : x
  2. Step 2: Convert to fraction form
    224.13/309.09 = 154.07/x
  3. Step 3: Cross multiply
    224.13x = 309.09 × 154.07
  4. Step 4: Simplify right side
    224.13x = 47,622.27
  5. Step 5: Solve for x
    x = 47,622.27/224.13
  6. Step 6: Final answer
    x = 212.48

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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.