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Finding the Fourth Proportional to 213.90, 321.14 and 156.80

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Solution

The fourth proportional to 213.90, 321.14 and 156.80 is: 235.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.90 : 321.14 = 156.80 : x
  2. Step 2: Convert to fraction form
    213.90/321.14 = 156.80/x
  3. Step 3: Cross multiply
    213.90x = 321.14 × 156.80
  4. Step 4: Simplify right side
    213.90x = 50,354.75
  5. Step 5: Solve for x
    x = 50,354.75/213.90
  6. Step 6: Final answer
    x = 235.41

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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.