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Finding the Fourth Proportional to 665.70, 998.47 and 178.79

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Solution

The fourth proportional to 665.70, 998.47 and 178.79 is: 268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.70 : 998.47 = 178.79 : x
  2. Step 2: Convert to fraction form
    665.70/998.47 = 178.79/x
  3. Step 3: Cross multiply
    665.70x = 998.47 × 178.79
  4. Step 4: Simplify right side
    665.70x = 178,516.45
  5. Step 5: Solve for x
    x = 178,516.45/665.70
  6. Step 6: Final answer
    x = 268.16

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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.