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Finding the Fourth Proportional to 664.84, 997.36 and 202.60

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Solution

The fourth proportional to 664.84, 997.36 and 202.60 is: 303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.84 : 997.36 = 202.60 : x
  2. Step 2: Convert to fraction form
    664.84/997.36 = 202.60/x
  3. Step 3: Cross multiply
    664.84x = 997.36 × 202.60
  4. Step 4: Simplify right side
    664.84x = 202,062.14
  5. Step 5: Solve for x
    x = 202,062.14/664.84
  6. Step 6: Final answer
    x = 303.93

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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.