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Finding the Fourth Proportional to 265.61, 366.23 and 199.31

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Solution

The fourth proportional to 265.61, 366.23 and 199.31 is: 274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.61 : 366.23 = 199.31 : x
  2. Step 2: Convert to fraction form
    265.61/366.23 = 199.31/x
  3. Step 3: Cross multiply
    265.61x = 366.23 × 199.31
  4. Step 4: Simplify right side
    265.61x = 72,991.97
  5. Step 5: Solve for x
    x = 72,991.97/265.61
  6. Step 6: Final answer
    x = 274.81

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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.