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Finding the Fourth Proportional to 170.98, 234.51 and 158.22

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Solution

The fourth proportional to 170.98, 234.51 and 158.22 is: 217.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.98 : 234.51 = 158.22 : x
  2. Step 2: Convert to fraction form
    170.98/234.51 = 158.22/x
  3. Step 3: Cross multiply
    170.98x = 234.51 × 158.22
  4. Step 4: Simplify right side
    170.98x = 37,104.47
  5. Step 5: Solve for x
    x = 37,104.47/170.98
  6. Step 6: Final answer
    x = 217.01

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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.