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Finding the Fourth Proportional to 170.20, 233.30 and 166.06

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Solution

The fourth proportional to 170.20, 233.30 and 166.06 is: 227.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.20 : 233.30 = 166.06 : x
  2. Step 2: Convert to fraction form
    170.20/233.30 = 166.06/x
  3. Step 3: Cross multiply
    170.20x = 233.30 × 166.06
  4. Step 4: Simplify right side
    170.20x = 38,741.80
  5. Step 5: Solve for x
    x = 38,741.80/170.20
  6. Step 6: Final answer
    x = 227.63

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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.