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Finding the Fourth Proportional to 232.24, 320.47 and 127.31

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Solution

The fourth proportional to 232.24, 320.47 and 127.31 is: 175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.24 : 320.47 = 127.31 : x
  2. Step 2: Convert to fraction form
    232.24/320.47 = 127.31/x
  3. Step 3: Cross multiply
    232.24x = 320.47 × 127.31
  4. Step 4: Simplify right side
    232.24x = 40,797.75
  5. Step 5: Solve for x
    x = 40,797.75/232.24
  6. Step 6: Final answer
    x = 175.67

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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.