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Finding the Fourth Proportional to 170.26, 234.36 and 145.66

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Solution

The fourth proportional to 170.26, 234.36 and 145.66 is: 200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.26 : 234.36 = 145.66 : x
  2. Step 2: Convert to fraction form
    170.26/234.36 = 145.66/x
  3. Step 3: Cross multiply
    170.26x = 234.36 × 145.66
  4. Step 4: Simplify right side
    170.26x = 34,136.88
  5. Step 5: Solve for x
    x = 34,136.88/170.26
  6. Step 6: Final answer
    x = 200.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.