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Finding the Fourth Proportional to 205.70, 306.42 and 203.36

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Solution

The fourth proportional to 205.70, 306.42 and 203.36 is: 302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.70 : 306.42 = 203.36 : x
  2. Step 2: Convert to fraction form
    205.70/306.42 = 203.36/x
  3. Step 3: Cross multiply
    205.70x = 306.42 × 203.36
  4. Step 4: Simplify right side
    205.70x = 62,313.57
  5. Step 5: Solve for x
    x = 62,313.57/205.70
  6. Step 6: Final answer
    x = 302.93

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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.