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Finding the Fourth Proportional to 164.43, 245.03 and 157.68

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Solution

The fourth proportional to 164.43, 245.03 and 157.68 is: 234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.43 : 245.03 = 157.68 : x
  2. Step 2: Convert to fraction form
    164.43/245.03 = 157.68/x
  3. Step 3: Cross multiply
    164.43x = 245.03 × 157.68
  4. Step 4: Simplify right side
    164.43x = 38,635.54
  5. Step 5: Solve for x
    x = 38,635.54/164.43
  6. Step 6: Final answer
    x = 234.97

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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.