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Finding the Fourth Proportional to 232.80, 317.04 and 231.36

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Solution

The fourth proportional to 232.80, 317.04 and 231.36 is: 315.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.80 : 317.04 = 231.36 : x
  2. Step 2: Convert to fraction form
    232.80/317.04 = 231.36/x
  3. Step 3: Cross multiply
    232.80x = 317.04 × 231.36
  4. Step 4: Simplify right side
    232.80x = 73,350.37
  5. Step 5: Solve for x
    x = 73,350.37/232.80
  6. Step 6: Final answer
    x = 315.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.