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Finding the Fourth Proportional to 176.20, 262.76 and 158

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Solution

The fourth proportional to 176.20, 262.76 and 158 is: 235.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.20 : 262.76 = 158 : x
  2. Step 2: Convert to fraction form
    176.20/262.76 = 158/x
  3. Step 3: Cross multiply
    176.20x = 262.76 × 158
  4. Step 4: Simplify right side
    176.20x = 41,516.08
  5. Step 5: Solve for x
    x = 41,516.08/176.20
  6. Step 6: Final answer
    x = 235.62

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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.