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Finding the Fourth Proportional to 240.65, 331.36 and 230.80

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Solution

The fourth proportional to 240.65, 331.36 and 230.80 is: 317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.65 : 331.36 = 230.80 : x
  2. Step 2: Convert to fraction form
    240.65/331.36 = 230.80/x
  3. Step 3: Cross multiply
    240.65x = 331.36 × 230.80
  4. Step 4: Simplify right side
    240.65x = 76,477.89
  5. Step 5: Solve for x
    x = 76,477.89/240.65
  6. Step 6: Final answer
    x = 317.80

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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.