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Finding the Fourth Proportional to 170.72, 233.89 and 164.24

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Solution

The fourth proportional to 170.72, 233.89 and 164.24 is: 225.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.72 : 233.89 = 164.24 : x
  2. Step 2: Convert to fraction form
    170.72/233.89 = 164.24/x
  3. Step 3: Cross multiply
    170.72x = 233.89 × 164.24
  4. Step 4: Simplify right side
    170.72x = 38,414.09
  5. Step 5: Solve for x
    x = 38,414.09/170.72
  6. Step 6: Final answer
    x = 225.01

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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.