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Finding the Fourth Proportional to 665.05, 917.81 and 366.31

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Solution

The fourth proportional to 665.05, 917.81 and 366.31 is: 505.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.05 : 917.81 = 366.31 : x
  2. Step 2: Convert to fraction form
    665.05/917.81 = 366.31/x
  3. Step 3: Cross multiply
    665.05x = 917.81 × 366.31
  4. Step 4: Simplify right side
    665.05x = 336,203.67
  5. Step 5: Solve for x
    x = 336,203.67/665.05
  6. Step 6: Final answer
    x = 505.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.