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Finding the Fourth Proportional to 164.58, 226.98 and 142.74

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Solution

The fourth proportional to 164.58, 226.98 and 142.74 is: 196.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.58 : 226.98 = 142.74 : x
  2. Step 2: Convert to fraction form
    164.58/226.98 = 142.74/x
  3. Step 3: Cross multiply
    164.58x = 226.98 × 142.74
  4. Step 4: Simplify right side
    164.58x = 32,399.13
  5. Step 5: Solve for x
    x = 32,399.13/164.58
  6. Step 6: Final answer
    x = 196.86

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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.