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Finding the Fourth Proportional to 164.45, 225.74 and 145.62

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Solution

The fourth proportional to 164.45, 225.74 and 145.62 is: 199.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.45 : 225.74 = 145.62 : x
  2. Step 2: Convert to fraction form
    164.45/225.74 = 145.62/x
  3. Step 3: Cross multiply
    164.45x = 225.74 × 145.62
  4. Step 4: Simplify right side
    164.45x = 32,872.62
  5. Step 5: Solve for x
    x = 32,872.62/164.45
  6. Step 6: Final answer
    x = 199.89

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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.