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Finding the Fourth Proportional to 205.37, 308.06 and 97.04

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Solution

The fourth proportional to 205.37, 308.06 and 97.04 is: 145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.37 : 308.06 = 97.04 : x
  2. Step 2: Convert to fraction form
    205.37/308.06 = 97.04/x
  3. Step 3: Cross multiply
    205.37x = 308.06 × 97.04
  4. Step 4: Simplify right side
    205.37x = 29,892.12
  5. Step 5: Solve for x
    x = 29,892.12/205.37
  6. Step 6: Final answer
    x = 145.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.