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Finding the Fourth Proportional to 237.07, 326.80 and 166.90

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Solution

The fourth proportional to 237.07, 326.80 and 166.90 is: 230.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.07 : 326.80 = 166.90 : x
  2. Step 2: Convert to fraction form
    237.07/326.80 = 166.90/x
  3. Step 3: Cross multiply
    237.07x = 326.80 × 166.90
  4. Step 4: Simplify right side
    237.07x = 54,540.45
  5. Step 5: Solve for x
    x = 54,540.45/237.07
  6. Step 6: Final answer
    x = 230.07

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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.