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Finding the Fourth Proportional to 170.50, 234.98 and 123.80

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Solution

The fourth proportional to 170.50, 234.98 and 123.80 is: 170.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.50 : 234.98 = 123.80 : x
  2. Step 2: Convert to fraction form
    170.50/234.98 = 123.80/x
  3. Step 3: Cross multiply
    170.50x = 234.98 × 123.80
  4. Step 4: Simplify right side
    170.50x = 29,090.52
  5. Step 5: Solve for x
    x = 29,090.52/170.50
  6. Step 6: Final answer
    x = 170.62

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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.