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Finding the Fourth Proportional to 265.65, 366.81 and 204.09

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Solution

The fourth proportional to 265.65, 366.81 and 204.09 is: 281.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.65 : 366.81 = 204.09 : x
  2. Step 2: Convert to fraction form
    265.65/366.81 = 204.09/x
  3. Step 3: Cross multiply
    265.65x = 366.81 × 204.09
  4. Step 4: Simplify right side
    265.65x = 74,862.25
  5. Step 5: Solve for x
    x = 74,862.25/265.65
  6. Step 6: Final answer
    x = 281.81

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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.