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Finding the Fourth Proportional to 215.88, 298.20 and 197.32

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Solution

The fourth proportional to 215.88, 298.20 and 197.32 is: 272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.88 : 298.20 = 197.32 : x
  2. Step 2: Convert to fraction form
    215.88/298.20 = 197.32/x
  3. Step 3: Cross multiply
    215.88x = 298.20 × 197.32
  4. Step 4: Simplify right side
    215.88x = 58,840.82
  5. Step 5: Solve for x
    x = 58,840.82/215.88
  6. Step 6: Final answer
    x = 272.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.