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Finding the Fourth Proportional to 177.75, 266.72 and 116.91

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Solution

The fourth proportional to 177.75, 266.72 and 116.91 is: 175.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.75 : 266.72 = 116.91 : x
  2. Step 2: Convert to fraction form
    177.75/266.72 = 116.91/x
  3. Step 3: Cross multiply
    177.75x = 266.72 × 116.91
  4. Step 4: Simplify right side
    177.75x = 31,181.65
  5. Step 5: Solve for x
    x = 31,181.65/177.75
  6. Step 6: Final answer
    x = 175.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.