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Finding the Fourth Proportional to 170.36, 233.46 and 153.96

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Solution

The fourth proportional to 170.36, 233.46 and 153.96 is: 210.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.36 : 233.46 = 153.96 : x
  2. Step 2: Convert to fraction form
    170.36/233.46 = 153.96/x
  3. Step 3: Cross multiply
    170.36x = 233.46 × 153.96
  4. Step 4: Simplify right side
    170.36x = 35,944.37
  5. Step 5: Solve for x
    x = 35,944.37/170.36
  6. Step 6: Final answer
    x = 210.99

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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.