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Finding the Fourth Proportional to 215.10, 321.90 and 165.60

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Solution

The fourth proportional to 215.10, 321.90 and 165.60 is: 247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.10 : 321.90 = 165.60 : x
  2. Step 2: Convert to fraction form
    215.10/321.90 = 165.60/x
  3. Step 3: Cross multiply
    215.10x = 321.90 × 165.60
  4. Step 4: Simplify right side
    215.10x = 53,306.64
  5. Step 5: Solve for x
    x = 53,306.64/215.10
  6. Step 6: Final answer
    x = 247.82

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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.