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Finding the Fourth Proportional to 225.32, 308.25 and 224.42

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Solution

The fourth proportional to 225.32, 308.25 and 224.42 is: 307.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.32 : 308.25 = 224.42 : x
  2. Step 2: Convert to fraction form
    225.32/308.25 = 224.42/x
  3. Step 3: Cross multiply
    225.32x = 308.25 × 224.42
  4. Step 4: Simplify right side
    225.32x = 69,175.92
  5. Step 5: Solve for x
    x = 69,175.92/225.32
  6. Step 6: Final answer
    x = 307.02

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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.