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Finding the Fourth Proportional to 171.99, 237.31 and 98.31

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Solution

The fourth proportional to 171.99, 237.31 and 98.31 is: 135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.99 : 237.31 = 98.31 : x
  2. Step 2: Convert to fraction form
    171.99/237.31 = 98.31/x
  3. Step 3: Cross multiply
    171.99x = 237.31 × 98.31
  4. Step 4: Simplify right side
    171.99x = 23,329.14
  5. Step 5: Solve for x
    x = 23,329.14/171.99
  6. Step 6: Final answer
    x = 135.64

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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.