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Finding the Fourth Proportional to 240.24, 331.25 and 216.91

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Solution

The fourth proportional to 240.24, 331.25 and 216.91 is: 299.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.24 : 331.25 = 216.91 : x
  2. Step 2: Convert to fraction form
    240.24/331.25 = 216.91/x
  3. Step 3: Cross multiply
    240.24x = 331.25 × 216.91
  4. Step 4: Simplify right side
    240.24x = 71,851.44
  5. Step 5: Solve for x
    x = 71,851.44/240.24
  6. Step 6: Final answer
    x = 299.08

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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.