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Finding the Fourth Proportional to 232.47, 320.74 and 134.20

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Solution

The fourth proportional to 232.47, 320.74 and 134.20 is: 185.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.47 : 320.74 = 134.20 : x
  2. Step 2: Convert to fraction form
    232.47/320.74 = 134.20/x
  3. Step 3: Cross multiply
    232.47x = 320.74 × 134.20
  4. Step 4: Simplify right side
    232.47x = 43,043.31
  5. Step 5: Solve for x
    x = 43,043.31/232.47
  6. Step 6: Final answer
    x = 185.16

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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.