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Finding the Fourth Proportional to 232.37, 320.69 and 127.47

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Solution

The fourth proportional to 232.37, 320.69 and 127.47 is: 175.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.37 : 320.69 = 127.47 : x
  2. Step 2: Convert to fraction form
    232.37/320.69 = 127.47/x
  3. Step 3: Cross multiply
    232.37x = 320.69 × 127.47
  4. Step 4: Simplify right side
    232.37x = 40,877.72
  5. Step 5: Solve for x
    x = 40,877.72/232.37
  6. Step 6: Final answer
    x = 175.92

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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.