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Finding the Fourth Proportional to 171.99, 237.33 and 116.78

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Solution

The fourth proportional to 171.99, 237.33 and 116.78 is: 161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.99 : 237.33 = 116.78 : x
  2. Step 2: Convert to fraction form
    171.99/237.33 = 116.78/x
  3. Step 3: Cross multiply
    171.99x = 237.33 × 116.78
  4. Step 4: Simplify right side
    171.99x = 27,714.21
  5. Step 5: Solve for x
    x = 27,714.21/171.99
  6. Step 6: Final answer
    x = 161.14

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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.