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Finding the Fourth Proportional to 232.13, 320.26 and 165.75

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Solution

The fourth proportional to 232.13, 320.26 and 165.75 is: 228.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.13 : 320.26 = 165.75 : x
  2. Step 2: Convert to fraction form
    232.13/320.26 = 165.75/x
  3. Step 3: Cross multiply
    232.13x = 320.26 × 165.75
  4. Step 4: Simplify right side
    232.13x = 53,081.56
  5. Step 5: Solve for x
    x = 53,081.56/232.13
  6. Step 6: Final answer
    x = 228.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.