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Finding the Fourth Proportional to 215.39, 321.34 and 197.77

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Solution

The fourth proportional to 215.39, 321.34 and 197.77 is: 295.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.39 : 321.34 = 197.77 : x
  2. Step 2: Convert to fraction form
    215.39/321.34 = 197.77/x
  3. Step 3: Cross multiply
    215.39x = 321.34 × 197.77
  4. Step 4: Simplify right side
    215.39x = 63,550.42
  5. Step 5: Solve for x
    x = 63,550.42/215.39
  6. Step 6: Final answer
    x = 295.05

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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.