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Finding the Fourth Proportional to 170.86, 234.01 and 160.88

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Solution

The fourth proportional to 170.86, 234.01 and 160.88 is: 220.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.86 : 234.01 = 160.88 : x
  2. Step 2: Convert to fraction form
    170.86/234.01 = 160.88/x
  3. Step 3: Cross multiply
    170.86x = 234.01 × 160.88
  4. Step 4: Simplify right side
    170.86x = 37,647.53
  5. Step 5: Solve for x
    x = 37,647.53/170.86
  6. Step 6: Final answer
    x = 220.35

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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.