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Finding the Fourth Proportional to 224.25, 309.44 and 135.79

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Solution

The fourth proportional to 224.25, 309.44 and 135.79 is: 187.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.25 : 309.44 = 135.79 : x
  2. Step 2: Convert to fraction form
    224.25/309.44 = 135.79/x
  3. Step 3: Cross multiply
    224.25x = 309.44 × 135.79
  4. Step 4: Simplify right side
    224.25x = 42,018.42
  5. Step 5: Solve for x
    x = 42,018.42/224.25
  6. Step 6: Final answer
    x = 187.37

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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.