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Finding the Fourth Proportional to 225.12, 336.44 and 164.40

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Solution

The fourth proportional to 225.12, 336.44 and 164.40 is: 245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.12 : 336.44 = 164.40 : x
  2. Step 2: Convert to fraction form
    225.12/336.44 = 164.40/x
  3. Step 3: Cross multiply
    225.12x = 336.44 × 164.40
  4. Step 4: Simplify right side
    225.12x = 55,310.74
  5. Step 5: Solve for x
    x = 55,310.74/225.12
  6. Step 6: Final answer
    x = 245.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.