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Finding the Fourth Proportional to 177.99, 267.01 and 75.26

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Solution

The fourth proportional to 177.99, 267.01 and 75.26 is: 112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.99 : 267.01 = 75.26 : x
  2. Step 2: Convert to fraction form
    177.99/267.01 = 75.26/x
  3. Step 3: Cross multiply
    177.99x = 267.01 × 75.26
  4. Step 4: Simplify right side
    177.99x = 20,095.65
  5. Step 5: Solve for x
    x = 20,095.65/177.99
  6. Step 6: Final answer
    x = 112.91

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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.