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Finding the Fourth Proportional to 320.04, 441.60 and 232.80

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Solution

The fourth proportional to 320.04, 441.60 and 232.80 is: 321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.04 : 441.60 = 232.80 : x
  2. Step 2: Convert to fraction form
    320.04/441.60 = 232.80/x
  3. Step 3: Cross multiply
    320.04x = 441.60 × 232.80
  4. Step 4: Simplify right side
    320.04x = 102,804.48
  5. Step 5: Solve for x
    x = 102,804.48/320.04
  6. Step 6: Final answer
    x = 321.22

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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.