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Finding the Fourth Proportional to 240.66, 359.28 and 213.54

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Solution

The fourth proportional to 240.66, 359.28 and 213.54 is: 318.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.66 : 359.28 = 213.54 : x
  2. Step 2: Convert to fraction form
    240.66/359.28 = 213.54/x
  3. Step 3: Cross multiply
    240.66x = 359.28 × 213.54
  4. Step 4: Simplify right side
    240.66x = 76,720.65
  5. Step 5: Solve for x
    x = 76,720.65/240.66
  6. Step 6: Final answer
    x = 318.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.