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Finding the Fourth Proportional to 175.57, 262.80 and 117.86

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Solution

The fourth proportional to 175.57, 262.80 and 117.86 is: 176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.57 : 262.80 = 117.86 : x
  2. Step 2: Convert to fraction form
    175.57/262.80 = 117.86/x
  3. Step 3: Cross multiply
    175.57x = 262.80 × 117.86
  4. Step 4: Simplify right side
    175.57x = 30,972.29
  5. Step 5: Solve for x
    x = 30,972.29/175.57
  6. Step 6: Final answer
    x = 176.41

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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.