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Finding the Fourth Proportional to 215.76, 296.16 and 197.31

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Solution

The fourth proportional to 215.76, 296.16 and 197.31 is: 270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.76 : 296.16 = 197.31 : x
  2. Step 2: Convert to fraction form
    215.76/296.16 = 197.31/x
  3. Step 3: Cross multiply
    215.76x = 296.16 × 197.31
  4. Step 4: Simplify right side
    215.76x = 58,434.87
  5. Step 5: Solve for x
    x = 58,434.87/215.76
  6. Step 6: Final answer
    x = 270.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.