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Finding the Fourth Proportional to 665.62, 998.36 and 178.72

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Solution

The fourth proportional to 665.62, 998.36 and 178.72 is: 268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.62 : 998.36 = 178.72 : x
  2. Step 2: Convert to fraction form
    665.62/998.36 = 178.72/x
  3. Step 3: Cross multiply
    665.62x = 998.36 × 178.72
  4. Step 4: Simplify right side
    665.62x = 178,426.90
  5. Step 5: Solve for x
    x = 178,426.90/665.62
  6. Step 6: Final answer
    x = 268.06

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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.