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Finding the Fourth Proportional to 170.86, 232.78 and 170.32

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Solution

The fourth proportional to 170.86, 232.78 and 170.32 is: 232.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.86 : 232.78 = 170.32 : x
  2. Step 2: Convert to fraction form
    170.86/232.78 = 170.32/x
  3. Step 3: Cross multiply
    170.86x = 232.78 × 170.32
  4. Step 4: Simplify right side
    170.86x = 39,647.09
  5. Step 5: Solve for x
    x = 39,647.09/170.86
  6. Step 6: Final answer
    x = 232.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.