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Finding the Fourth Proportional to 164.16, 226.23 and 145.71

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Solution

The fourth proportional to 164.16, 226.23 and 145.71 is: 200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.16 : 226.23 = 145.71 : x
  2. Step 2: Convert to fraction form
    164.16/226.23 = 145.71/x
  3. Step 3: Cross multiply
    164.16x = 226.23 × 145.71
  4. Step 4: Simplify right side
    164.16x = 32,963.97
  5. Step 5: Solve for x
    x = 32,963.97/164.16
  6. Step 6: Final answer
    x = 200.80

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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.