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Finding the Fourth Proportional to 224.60, 309.94 and 146.97

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Solution

The fourth proportional to 224.60, 309.94 and 146.97 is: 202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.60 : 309.94 = 146.97 : x
  2. Step 2: Convert to fraction form
    224.60/309.94 = 146.97/x
  3. Step 3: Cross multiply
    224.60x = 309.94 × 146.97
  4. Step 4: Simplify right side
    224.60x = 45,552.25
  5. Step 5: Solve for x
    x = 45,552.25/224.60
  6. Step 6: Final answer
    x = 202.82

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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.