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Finding the Fourth Proportional to 232.32, 320.64 and 193.92

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Solution

The fourth proportional to 232.32, 320.64 and 193.92 is: 267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.32 : 320.64 = 193.92 : x
  2. Step 2: Convert to fraction form
    232.32/320.64 = 193.92/x
  3. Step 3: Cross multiply
    232.32x = 320.64 × 193.92
  4. Step 4: Simplify right side
    232.32x = 62,178.51
  5. Step 5: Solve for x
    x = 62,178.51/232.32
  6. Step 6: Final answer
    x = 267.64

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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.