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Finding the Fourth Proportional to 215.80, 321.46 and 197.08

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Solution

The fourth proportional to 215.80, 321.46 and 197.08 is: 293.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.80 : 321.46 = 197.08 : x
  2. Step 2: Convert to fraction form
    215.80/321.46 = 197.08/x
  3. Step 3: Cross multiply
    215.80x = 321.46 × 197.08
  4. Step 4: Simplify right side
    215.80x = 63,353.34
  5. Step 5: Solve for x
    x = 63,353.34/215.80
  6. Step 6: Final answer
    x = 293.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.