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Finding the Fourth Proportional to 664.01, 996.02 and 177.05

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Solution

The fourth proportional to 664.01, 996.02 and 177.05 is: 265.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.01 : 996.02 = 177.05 : x
  2. Step 2: Convert to fraction form
    664.01/996.02 = 177.05/x
  3. Step 3: Cross multiply
    664.01x = 996.02 × 177.05
  4. Step 4: Simplify right side
    664.01x = 176,347.61
  5. Step 5: Solve for x
    x = 176,347.61/664.01
  6. Step 6: Final answer
    x = 265.58

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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.