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Finding the Fourth Proportional to 205.66, 306.05 and 204.40

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Solution

The fourth proportional to 205.66, 306.05 and 204.40 is: 304.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.66 : 306.05 = 204.40 : x
  2. Step 2: Convert to fraction form
    205.66/306.05 = 204.40/x
  3. Step 3: Cross multiply
    205.66x = 306.05 × 204.40
  4. Step 4: Simplify right side
    205.66x = 62,556.62
  5. Step 5: Solve for x
    x = 62,556.62/205.66
  6. Step 6: Final answer
    x = 304.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.