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Finding the Fourth Proportional to 177.27, 266.84 and 150.85

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Solution

The fourth proportional to 177.27, 266.84 and 150.85 is: 227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.27 : 266.84 = 150.85 : x
  2. Step 2: Convert to fraction form
    177.27/266.84 = 150.85/x
  3. Step 3: Cross multiply
    177.27x = 266.84 × 150.85
  4. Step 4: Simplify right side
    177.27x = 40,252.81
  5. Step 5: Solve for x
    x = 40,252.81/177.27
  6. Step 6: Final answer
    x = 227.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.