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Finding the Fourth Proportional to 240, 330.88 and 216.80

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Solution

The fourth proportional to 240, 330.88 and 216.80 is: 298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    240 : 330.88 = 216.80 : x
  2. Step 2: Convert to fraction form
    240/330.88 = 216.80/x
  3. Step 3: Cross multiply
    240x = 330.88 × 216.80
  4. Step 4: Simplify right side
    240x = 71,734.78
  5. Step 5: Solve for x
    x = 71,734.78/240
  6. Step 6: Final answer
    x = 298.89

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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.