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Finding the Fourth Proportional to 326.40, 472.80 and 326.40

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Solution

The fourth proportional to 326.40, 472.80 and 326.40 is: 472.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.40 : 472.80 = 326.40 : x
  2. Step 2: Convert to fraction form
    326.40/472.80 = 326.40/x
  3. Step 3: Cross multiply
    326.40x = 472.80 × 326.40
  4. Step 4: Simplify right side
    326.40x = 154,321.92
  5. Step 5: Solve for x
    x = 154,321.92/326.40
  6. Step 6: Final answer
    x = 472.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.