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Finding the Fourth Proportional to 213.88, 321.02 and 155.36

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Solution

The fourth proportional to 213.88, 321.02 and 155.36 is: 233.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.88 : 321.02 = 155.36 : x
  2. Step 2: Convert to fraction form
    213.88/321.02 = 155.36/x
  3. Step 3: Cross multiply
    213.88x = 321.02 × 155.36
  4. Step 4: Simplify right side
    213.88x = 49,871.87
  5. Step 5: Solve for x
    x = 49,871.87/213.88
  6. Step 6: Final answer
    x = 233.18

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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.