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Finding the Fourth Proportional to 177.57, 264.92 and 157.97

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Solution

The fourth proportional to 177.57, 264.92 and 157.97 is: 235.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.57 : 264.92 = 157.97 : x
  2. Step 2: Convert to fraction form
    177.57/264.92 = 157.97/x
  3. Step 3: Cross multiply
    177.57x = 264.92 × 157.97
  4. Step 4: Simplify right side
    177.57x = 41,847.30
  5. Step 5: Solve for x
    x = 41,847.30/177.57
  6. Step 6: Final answer
    x = 235.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.