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Finding the Fourth Proportional to 213.76, 321.28 and 99.84

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Solution

The fourth proportional to 213.76, 321.28 and 99.84 is: 150.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.76 : 321.28 = 99.84 : x
  2. Step 2: Convert to fraction form
    213.76/321.28 = 99.84/x
  3. Step 3: Cross multiply
    213.76x = 321.28 × 99.84
  4. Step 4: Simplify right side
    213.76x = 32,076.60
  5. Step 5: Solve for x
    x = 32,076.60/213.76
  6. Step 6: Final answer
    x = 150.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.