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Finding the Fourth Proportional to 225.10, 309.90 and 181.36

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Solution

The fourth proportional to 225.10, 309.90 and 181.36 is: 249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.10 : 309.90 = 181.36 : x
  2. Step 2: Convert to fraction form
    225.10/309.90 = 181.36/x
  3. Step 3: Cross multiply
    225.10x = 309.90 × 181.36
  4. Step 4: Simplify right side
    225.10x = 56,203.46
  5. Step 5: Solve for x
    x = 56,203.46/225.10
  6. Step 6: Final answer
    x = 249.68

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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.