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Finding the Fourth Proportional to 171.73, 237.01 and 98.07

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Solution

The fourth proportional to 171.73, 237.01 and 98.07 is: 135.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.73 : 237.01 = 98.07 : x
  2. Step 2: Convert to fraction form
    171.73/237.01 = 98.07/x
  3. Step 3: Cross multiply
    171.73x = 237.01 × 98.07
  4. Step 4: Simplify right side
    171.73x = 23,243.57
  5. Step 5: Solve for x
    x = 23,243.57/171.73
  6. Step 6: Final answer
    x = 135.35

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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.