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Finding the Fourth Proportional to 215.52, 324.96 and 197.52

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Solution

The fourth proportional to 215.52, 324.96 and 197.52 is: 297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.52 : 324.96 = 197.52 : x
  2. Step 2: Convert to fraction form
    215.52/324.96 = 197.52/x
  3. Step 3: Cross multiply
    215.52x = 324.96 × 197.52
  4. Step 4: Simplify right side
    215.52x = 64,186.10
  5. Step 5: Solve for x
    x = 64,186.10/215.52
  6. Step 6: Final answer
    x = 297.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.